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We review lattice results related to pion, kaon, $D$-meson, $B$-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities.
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K. G. Wilson, Confinement of quarks , Phys. Rev. D10
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J. B. Kogut and L. Susskind, Hamiltonian formulation of Wilson’s lattice gauge theories , Phys. Rev. D11
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T. Banks, L. Susskind and J. B. Kogut, Strong coupling calculations of lattice gauge theories: (1+1)-dimensional exercises , Phys. Rev. D13
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G. ’t Hooft, Symmetry breaking through Bell-Jackiw anomalies , Phys.Rev.Lett. 37
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G. ’t Hooft, Computation of the quantum effects due to a four-dimensional pseudoparticle , Phys.Rev. D14
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S. Weinberg, The problem of mass , Trans. New York Acad. Sci. 38
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W. Fischler, Quark-antiquark potential in QCD , Nucl.Phys. B129
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K. G. Wilson, Quarks and strings on a lattice
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L. Susskind, Lattice fermions , Phys. Rev. D16
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A. I. Vainshtein et al., Sum rules for light quarks in Quantum Chromodynamics , Sov. J. Nucl. Phys. 27
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M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Remarks on Higgs Boson Interactions with Nucleons , Phys. Lett. 78B
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K. Osterwalder and E. Seiler, Gauge Field Theories on the Lattice , Annals Phys. 110
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K. G. Chetyrkin, A. L. Kataev and F. V. Tkachov, Higher Order Corrections to Sigma-t (e+ e- —¿ Hadrons) in Quantum Chromodynamics , Phys. Lett. 85B
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P. Di Vecchia and G. Veneziano, Chiral dynamics in the large N limit , Nucl. Phys. B171
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T. Banks and A. Casher, Chiral symmetry breaking in confining theories , Nucl. Phys. B169
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A. Billoire, How heavy must be quarks in order to build coulombic q q ¯ q\bar{q} bound states , Phys.Lett. B92
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G. P. Lepage and S. J. Brodsky, Exclusive processes in perturbative Quantum Chromodynamics , Phys.Rev. D22
1980
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L. H. Karsten and J. Smit, Lattice fermions: species doubling, chiral invariance, and the triangle anomaly , Nucl.Phys. B183
1981
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N. Kawamoto and J. Smit, Effective Lagrangian and dynamical symmetry breaking in strongly coupled lattice QCD , Nucl. Phys. B192
1981
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H. S. Sharatchandra, H. J. Thun and P. Weisz, Susskind fermions on a euclidean lattice , Nucl. Phys. B192
1981
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E. Marinari, G. Parisi and C. Rebbi, Monte Carlo simulation of the massive Schwinger model , Nucl. Phys. B190
1981
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H. B. Nielsen and M. Ninomiya, No go theorem for regularizing chiral fermions , Phys. Lett. B105
1981
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C. Bourrely, B. Machet and E. de Rafael, Semileptonic decays of pseudoscalar particles (M → \to M ′ ℓ ν ℓ M^{\prime}\ell\nu_{\ell} ) and short distance behavior of Quantum Chromodynamics , Nucl. Phys. B189
1981
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J. Gasser and H. Leutwyler, Quark masses , Phys. Rept. 87
1982
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P. H. Ginsparg and K. G. Wilson, A remnant of chiral symmetry on the lattice , Phys. Rev. D25
1982
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W. Bernreuther and W. Wetzel, Decoupling of heavy quarks in the minimal subtraction scheme , Nucl.Phys. B197
1982
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M. Lüscher, A Semiclassical Formula for the Topological Susceptibility in a Finite Space-time Volume , Nucl. Phys. B205
1982
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G. Fox, R. Gupta, O. Martin and S. Otto, Monte Carlo Estimates of the Mass Gap of the O(2) and O(3) Spin Models in (1+1)-dimensions , Nucl. Phys. B205
1982
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K. Symanzik, Continuum limit and improved action in lattice theories. 1. Principles and ϕ 4 \phi^{4} theory , Nucl. Phys. B226
1983
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K. Symanzik, Continuum limit and improved action in lattice theories. 2. O(N) nonlinear sigma model in perturbation theory , Nucl. Phys. B226
1983
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J. Gasser and H. Leutwyler, Low-Energy Theorems as Precision Tests of QCD , Phys. Lett. 125B
1983
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H. W. Hamber, E. Marinari, G. Parisi and C. Rebbi, Considerations on Numerical Analysis of QCD , Nucl. Phys. B225
1983
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H. Leutwyler and M. Roos, Determination of the elements V u s V_{us} and V u d V_{ud} of the Kobayashi-Maskawa matrix , Z. Phys. C25
1984
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J. Gasser and H. Leutwyler, Chiral perturbation theory to one loop , Ann. Phys. 158
1984
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J. Gasser and H. Leutwyler, η → 3 π \eta\to 3\pi to one loop , Nucl. Phys. B250
1985
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J. Gasser and H. Leutwyler, Low-energy expansion of meson form factors , Nucl. Phys. B250
1985
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J. Gasser and H. Leutwyler, Chiral perturbation theory: expansions in the mass of the strange quark , Nucl. Phys. B250
1985
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M. E. Fisher and V. Privman, First-order transitions breaking O(n) symmetry: finite-size scaling , Phys. Rev. B32
1985
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E. Brezin and J. Zinn-Justin, Finite size effects in phase transitions , Nucl. Phys. B257
1985
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A. Coste, A. Gonzalez-Arroyo, J. Jurkiewicz and C. Korthals Altes, Zero momentum contribution to Wilson loops in periodic boxes , Nucl.Phys. B262
1985
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M. Lüscher and P. Weisz, On-shell improved lattice gauge theories , Commun. Math. Phys. 97
1985
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C. Michael, Adjoint Sources in Lattice Gauge Theory , Nucl. Phys. B259
1985
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M. Bochicchio, L. Maiani, G. Martinelli, G. C. Rossi and M. Testa, Chiral symmetry on the lattice with Wilson fermions , Nucl.Phys. B262
1985
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Y. Iwasaki, Renormalization group analysis of lattice theories and improved lattice action: two-dimensional nonlinear O(N) sigma model , Nucl. Phys. B258
1985
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B. Sheikholeslami and R. Wohlert, Improved continuum limit lattice action for QCD with Wilson fermions , Nucl. Phys. B259
1985
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M. Lüscher, Volume Dependence of the Energy Spectrum in Massive Quantum Field Theories. 1. Stable Particle States , Commun. Math. Phys. 104
1986
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M. Lüscher, Volume Dependence of the Energy Spectrum in Massive Quantum Field Theories. 2. Scattering States , Commun. Math. Phys. 105
1986
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1986
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S. R. Amendolia et al., A measurement of the space-like pion electromagnetic form factor , Nucl. Phys. B277
1986
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W. E. Caswell and G. P. Lepage, Effective Lagrangians for bound state problems in QED, QCD and other field theories , Phys. Lett. B167
1986
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S. Duane, A. D. Kennedy, B. J. Pendleton and D. Roweth, Hybrid Monte Carlo , Phys. Lett. B195
1987
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J. Gasser and H. Leutwyler, Light quarks at low temperatures , Phys. Lett. B184
1987
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J. Gasser and H. Leutwyler, Thermodynamics of chiral symmetry , Phys. Lett. B188
1987
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H. Leutwyler, Energy levels of light quarks confined to a box , Phys. Lett. B189
1987
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L. Maiani, G. Martinelli, M. L. Paciello and B. Taglienti, Scalar Densities and Baryon Mass Differences in Lattice QCD With Wilson Fermions , Nucl. Phys. B293
1987
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J. Gasser and H. Leutwyler, Spontaneously broken symmetries: effective Lagrangians at finite volume , Nucl. Phys. B307
1988
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S. Güsken, K. Schilling, R. Sommer, K. H. Mütter and A. Patel, Mass Splittings in the Baryon Octet and the Nucleon σ \sigma Term in Lattice QCD , Phys. Lett. B212
1988
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T. N. Truong, Chiral Perturbation Theory and Final State Theorem , Phys. Rev. Lett. 61
1988
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European Muon
1988
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J. Gasser, M. E. Sainio and A. Svarc, Nucleons with Chiral Loops , Nucl. Phys. B307
1988
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G. Ecker, J. Gasser, A. Pich and E. de Rafael, The Role of Resonances in Chiral Perturbation Theory , Nucl. Phys. B321
1989
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G. Ecker, J. Gasser, H. Leutwyler, A. Pich and E. de Rafael, Chiral Lagrangians for Massive Spin 1 Fields , Phys. Lett. B223
1989
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G. P. Lepage, The Analysis of Algorithms for Lattice Field Theory , in Boulder ASI 1989:97-120 , pp. 97–120, 1989
1989
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S. Güsken, U. Löw, K. H. Mütter, R. Sommer, A. Patel and K. Schilling, Nonsinglet Axial Vector Couplings of the Baryon Octet in Lattice QCD , Phys. Lett. B227
1989
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S. Naik, On-shell improved lattice action for QCD with Susskind fermions and asymptotic freedom scale , Nucl. Phys. B316
1989
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N. Isgur and M. B. Wise, Weak decays of heavy mesons in the static quark approximation , Phys.Lett. B232
1989
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M. Göckeler, R. Horsley, E. Laermann, P. E. L. Rakow, G. Schierholz, R. Sommer et al., QED: A Lattice Investigation of the Chiral Phase Transition and the Nature of the Continuum Limit , Nucl. Phys. B334
1990
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P. Hasenfratz and H. Leutwyler, Goldstone boson related finite size effects in field theory and critical phenomena with O(N) symmetry , Nucl. Phys. B343
1990
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J. F. Donoghue, J. Gasser and H. Leutwyler, The decay of a light Higgs boson , Nucl. Phys. B343
1990
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L. Maiani and M. Testa, Final state interactions from Euclidean correlation functions , Phys. Lett. B245
1990
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F. C. Hansen, Finite size effects in spontaneously broken SU(N) × \times SU(N) theories , Nucl. Phys. B345
1990
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A. J. Buras, M. Jamin and P. H. Weisz, Leading and next-to-leading QCD corrections to ϵ \epsilon parameter and B 0 − B ¯ 0 B_{0}-\bar{B}_{0} mixing in the presence of a heavy top quark , Nucl. Phys. B347
1990
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N. Gray, D. J. Broadhurst, W. Grafe and K. Schilcher, Three Loop Relation of Quark (Modified) Ms and Pole Masses , Z. Phys. C48
1990
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M. E. Luke, Effects of subleading operators in the heavy quark effective theory , Phys. Lett. B252
1990
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R. Sommer, Current matrix elements with quenched Wilson fermions , Nucl. Phys. Proc. Suppl. 17
1990
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M. Lüscher and U. Wolff, How to Calculate the Elastic Scattering Matrix in Two-dimensional Quantum Field Theories by Numerical Simulation , Nucl. Phys. B339
1990
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J. F. Donoghue and D. Wyler, Isospin breaking and the precise determination of V u d V_{ud} , Phys.Lett. B241
1990
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R. L. Jaffe and A. Manohar, The G(1) Problem: Fact and Fantasy on the Spin of the Proton , Nucl. Phys. B337
1990
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E. Eichten and B. R. Hill, An effective field theory for the calculation of matrix elements involving heavy quarks , Phys.Lett. B234
1990
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N. Isgur and M. B. Wise, Weak transition form-factors between heavy mesons , Phys.Lett. B237
1990
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M. Lüscher, Two particle states on a torus and their relation to the scattering matrix , Nucl. Phys. B354
1991
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M. Lüscher, Signatures of unstable particles in finite volume , Nucl. Phys. B364
1991
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F. C. Hansen and H. Leutwyler, Charge correlations and topological susceptibility in QCD , Nucl. Phys. B350
1991
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N. H. Fuchs, H. Sazdjian and J. Stern, How to probe the scale of q ¯ q \bar{q}q in chiral perturbation theory , Phys. Lett. B269
1991
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M. Lüscher, P. Weisz and U. Wolff, A numerical method to compute the running coupling in asymptotically free theories , Nucl.Phys. B359
1991
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L. R. Surguladze and M. A. Samuel, Total hadronic cross-section in e+ e- annihilation at the four loop level of perturbative QCD , Phys. Rev. Lett. 66
1991
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C. Alexandrou, F. Jegerlehner, S. Gusken, K. Schilling and R. Sommer, B meson properties from lattice QCD , Phys. Lett. B256
1991
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E. E. Jenkins and A. V. Manohar, Baryon chiral perturbation theory using a heavy fermion Lagrangian , Phys. Lett. B255
1991
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B. Thacker and G. P. Lepage, Heavy quark bound states in lattice QCD , Phys.Rev. D43
1991
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M. Lüscher, R. Narayanan, P. Weisz and U. Wolff, The Schrödinger functional: a renormalizable probe for non-abelian gauge theories , Nucl. Phys. B384
1992
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H. Leutwyler and A. V. Smilga, Spectrum of Dirac operator and role of winding number in QCD , Phys. Rev. D46
1992
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C. Michael, The running coupling from lattice gauge theory , Phys.Lett. B283
1992
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1992
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A. X. El-Khadra, G. Hockney, A. S. Kronfeld and P. B. Mackenzie, A determination of the strong coupling constant from the charmonium spectrum , Phys.Rev.Lett. 69
1992
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V. Bernard, N. Kaiser, J. Kambor and U. G. Meissner, Chiral structure of the nucleon , Nucl. Phys. B388
1992
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D. B. Kaplan, A method for simulating chiral fermions on the lattice , Phys. Lett. B288
1992
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G. P. Lepage, L. Magnea, C. Nakhleh, U. Magnea and K. Hornbostel, Improved nonrelativistic QCD for heavy quark physics , Phys.Rev. D46
1992
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E. V. Shuryak and J. J. M. Verbaarschot, Random matrix theory and spectral sum rules for the Dirac operator in QCD , Nucl. Phys. A560
1993
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J. J. M. Verbaarschot and I. Zahed, Spectral density of the QCD Dirac operator near zero virtuality , Phys. Rev. Lett. 70
1993
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J. Stern, H. Sazdjian and N. H. Fuchs, What π \pi - π \pi scattering tells us about chiral perturbation theory , Phys. Rev. D47
1993
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G. Buchalla and A. J. Buras, QCD corrections to rare K and B decays for arbitrary top quark mass , Nucl.Phys. B400
1993
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L. Randall and M. B. Wise, Chiral perturbation theory for B → D ∗ B\to D^{*} and B → D B\to D semileptonic transition matrix elements at zero recoil , Phys.Lett. B303
1993
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G. S. Bali and K. Schilling, Running coupling and the Λ \Lambda -parameter from S U ( 3 ) SU(3) lattice simulations , Phys.Rev. D47
1993
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I. Balitsky, M. Beneke and V. M. Braun, Instanton contributions to the τ \tau decay widths , Phys.Lett. B318
1993
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G. P. Lepage and P. B. Mackenzie, On the viability of lattice perturbation theory , Phys.Rev. D48
1993
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S. Bernardson, P. McCarty and C. Thron, Monte Carlo methods for estimating linear combinations of inverse matrix entries in lattice QCD , Comput. Phys. Commun. 78
1993
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Y. Shamir, Chiral fermions from lattice boundaries , Nucl. Phys. B406
1993
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R. Sommer, A new way to set the energy scale in lattice gauge theories and its applications to the static force and α s \alpha_{s} in SU(2) Yang-Mills theory , Nucl. Phys. B411
1994
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J. J. M. Verbaarschot, The spectrum of the QCD Dirac operator and chiral random matrix theory: the threefold way , Phys. Rev. Lett. 72
1994
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S. Sint, On the Schrödinger functional in QCD , Nucl.Phys. B421
1994
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M. Lüscher, R. Sommer, P. Weisz and U. Wolff, A precise determination of the running coupling in the S U ( 3 ) SU(3) Yang-Mills theory , Nucl.Phys. B413
1994
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K. G. Chetyrkin and J. H. Kuhn, Quartic mass corrections to R(had) , Nucl. Phys. B432
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C. J. Morningstar, Radiative corrections to the kinetic couplings in nonrelativistic lattice QCD , Phys.Rev. D50
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C. W. Bernard and M. F. L. Golterman, Partially quenched gauge theories and an application to staggered fermions , Phys. Rev. D49
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R. E. Kass and A. E. Raftery, Bayes factors , Journal of the American Statistical Association 90
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M. G. Alford, W. Dimm, G. P. Lepage, G. Hockney and P. B. Mackenzie, Lattice QCD on small computers , Phys. Lett. B361
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V. Furman and Y. Shamir, Axial symmetries in lattice QCD with Kaplan fermions , Nucl. Phys. B439
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G. T. Bodwin, E. Braaten and G. P. Lepage, Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium , Phys.Rev. D51
1995
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A. Duncan, E. Eichten and H. Thacker, Electromagnetic splittings and light quark masses in lattice QCD , Phys. Rev. Lett. 76
1996
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H. Leutwyler, The ratios of the light quark masses , Phys. Lett. B378
1996
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J. Bijnens, G. Colangelo, G. Ecker, J. Gasser and M. E. Sainio, Elastic pi pi scattering to two loops , Phys. Lett. B374
1996
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G. Buchalla, A. J. Buras and M. E. Lautenbacher, Weak decays beyond leading logarithms , Rev. Mod. Phys. 68
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F. Gabbiani, E. Gabrielli, A. Masiero and L. Silvestrini, A Complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model , Nucl. Phys. B477
1996
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M. Beneke, G. Buchalla and I. Dunietz, Width difference in the B s − B s ¯ B_{s}-\bar{B_{s}} system , Phys.Rev. D54
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G. Martinelli and C. T. Sachrajda, On the difficulty of computing higher twist corrections , Nucl.Phys. B478
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S. Sint and R. Sommer, The running coupling from the QCD Schrödinger functional: a one loop analysis , Nucl.Phys. B465
1996
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A. Bochkarev and P. de Forcrand, Determination of the renormalized heavy quark mass in lattice QCD , Nucl.Phys. B477
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K. Jansen, C. Liu, M. Luscher, H. Simma, S. Sint, R. Sommer et al., Nonperturbative renormalization of lattice QCD at all scales , Phys. Lett. B372
1996
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M. Lüscher, S. Sint, R. Sommer and P. Weisz, Chiral symmetry and O(a) improvement in lattice QCD , Nucl. Phys. B478
1996
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T. Takaishi, Heavy quark potential and effective actions on blocked configurations , Phys. Rev. D54
1996
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W. Bietenholz and U. Wiese, Perfect lattice actions for quarks and gluons , Nucl.Phys. B464
1996
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L. Lellouch, Lattice constrained unitarity bounds for B ¯ 0 → π + ℓ ν l ¯ \bar{B}^{0}\to\pi^{+}\ell\,\bar{\nu_{l}} decays , Nucl.Phys. B479
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T. van Ritbergen, J. A. M. Vermaseren and S. A. Larin, The four-loop β \beta -function in Quantum Chromodynamics , Phys. Lett. B400
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R. Kaiser, The η \eta and the η ′ \eta^{\prime} at large N c N_{c} , diploma work, University of Bern
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C. G. Boyd, B. Grinstein and R. F. Lebed, Precision corrections to dispersive bounds on form-factors , Phys. Rev. D56
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M. Peter, The static potential in QCD: a full two loop calculation , Nucl.Phys. B501
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A. Cucchieri, Gribov copies in the minimal Landau gauge: The Influence on gluon and ghost propagators , Nucl.Phys. B508
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B. Alles, D. Henty, H. Panagopoulos, C. Parrinello, C. Pittori et al., α s \alpha_{s} from the nonperturbatively renormalised lattice three gluon vertex , Nucl.Phys. B502
1997
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S. Sint and P. Weisz, Further results on O(a) improved lattice QCD to one loop order of perturbation theory , Nucl. Phys. B502
1997
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X.-D. Ji, Gauge-Invariant Decomposition of Nucleon Spin , Phys. Rev. Lett. 78
1997
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M. Lüscher, S. Sint, R. Sommer, P. Weisz and U. Wolff, Non-perturbative O(a) improvement of lattice QCD , Nucl. Phys. B491
1997
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T. Blum and A. Soni, QCD with domain wall quarks , Phys.Rev. D56
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A. X. El-Khadra, A. S. Kronfeld and P. B. Mackenzie, Massive fermions in lattice gauge theory , Phys.Rev. D55
1997
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S. R. Sharpe, Enhanced chiral logarithms in partially quenched QCD , Phys. Rev. D56
1997
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C. G. Boyd and M. J. Savage, Analyticity, shapes of semileptonic form-factors, and B ¯ → π ℓ ν ¯ \bar{B}\to\pi\ell\bar{\nu} , Phys.Rev. D56
1997
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J. Bijnens, G. Colangelo and P. Talavera, The vector and scalar form factors of the pion to two loops , JHEP 05
1998
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S. M. Nishigaki, P. H. Damgaard and T. Wettig, Smallest Dirac eigenvalue distribution from random matrix theory , Phys. Rev. D58
1998
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M. Davier, L. Girlanda, A. Hocker and J. Stern, Finite energy chiral sum rules and tau spectral functions , Phys.Rev. D58
1998
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I. Caprini, L. Lellouch and M. Neubert, Dispersive bounds on the shape of anti-B —¿ D(*) lepton anti-neutrino form-factors , Nucl. Phys. B530
1998
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P. Boucaud, J. Leroy, J. Micheli, O. Pene and C. Roiesnel, Three loop beta function and nonperturbative α s \alpha_{s} in asymmetric momentum scheme , JHEP 9812
1998
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2036
Closest in time.
2039
Closest in time.
2039
Closest in time.
2040
Closest in time.
2044
Closest in time.
2052
Closest in time.
2056
Closest in time.
2059
Closest in time.
2066
Closest in time.
R. Gupta, A. Patel, C. F. Baillie, G. Guralnik, G. W. Kilcup and S. R. Sharpe, QCD With Dynamical Wilson Fermions , Phys. Rev. D40
2072
Closest in time.