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Two crucial properties of QCD, confinement and chiral symmetry breaking, cannot be understood within the context of conventional Feynman perturbation theory.
Ein neuer effekt bei eintritt der supraleitfähigkeit
W. Meissner and R. Ochsenfeld · 1933
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Space-time approach to nonrelativistic quantum mechanics
R.P. Feynman · 1948
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Divergence of perturbation theory in quantum electrodynamics
F.J. Dyson · 1952
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Equation of state calculations by fast computing machines
N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller, and E. Teller · 1953
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Conservation of Isotopic Spin and Isotopic Gauge Invariance
Chen-Ning Yang and Robert L. Mills · 1954
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On the Magnetic properties of superconductors of the second group
A.A. Abrikosov · 1957
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A Soluble relativistic field theory?
Walter E. Thirring · 1958
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Field theory commutators
Julian S. Schwinger · 1959
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Gauge Invariance and Mass. 2
Julian S. Schwinger · 1962
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Broken Symmetries
Jeffrey Goldstone, Abdus Salam, and Steven Weinberg · 1962
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A schematic model of baryons and mesons
Murray Gell-Mann · 1964
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On Point interactions in quantum electrodynamics
L.D. Landau and I.Ya. Pomeranchuk · 1965
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Quantum mechanics and path integrals
Richard P. Feynman and A. R. Hibbs · 1965
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Applications of the chiral U ( 6 ) ⊗ U ( 6 ) U(6)\otimes U(6) algebra of current densities
J. D. Bjorken · 1966
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Feynman Diagrams for the Yang-Mills Field
L.D. Faddeev and V.N. Popov · 1967
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Inequality for backward electron-nucleon and muon-nucleon scattering at high momentum transfer
J. D. Bjorken · 1967
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Axial vector vertex in spinor electrodynamics
Stephen L. Adler · 1969
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Absence of higher order corrections in the anomalous axial vector divergence equation
Stephen L. Adler and William A. Bardeen · 1969
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A PCAC puzzle: pi0 to gamma gamma in the sigma model
J.S. Bell and R. Jackiw · 1969
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Some features of chiral symmetry breaking
Roger F. Dashen · 1971
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Reliable perturbative results for strong interactions?
H.David Politzer · 1973
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Ultraviolet behavior of nonabelian gauge theories
D.J. Gross and Frank Wilczek · 1973
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Asymptotically free gauge theories. 1
D.J. Gross and Frank Wilczek · 1973
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Radiative corrections as the origin of spontaneous symmetry breaking
Sidney R. Coleman and Erick J. Weinberg · 1973
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A new extended model of hadrons
A. Chodos, R. L. Jaffe, K. Johnson, Charles B. Thorn, and V. F. Weisskopf · 1974
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Confinement of quarks
Kenneth G. Wilson · 1974
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Asymptotic behavior of nonabelian gauge theories to two loop order
William E. Caswell · 1974
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Two loop diagrams in Yang-Mills theory
D.R.T. Jones · 1974
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The Renormalization group and the epsilon expansion
K.G. Wilson and John B. Kogut · 1974
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Soliton Operators for the Quantized Sine-Gordon Equation
S. Mandelstam · 1975
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The Quantum Sine-Gordon Equation as the Massive Thirring Model
Sidney R. Coleman · 1975
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Impossibility of spontaneously breaking local symmetries
S. Elitzur · 1975
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Hamiltonian formulation of Wilson’s lattice gauge theories
John B. Kogut and Leonard Susskind · 1975
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Computation of the quantum effects due to a four-dimensional pseudoparticle
Gerard ’t Hooft · 1976
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An introduction to Regge theory and high-energy physics
P. D. B. Collins · 1977
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Quarks and strings on a lattice
Kenneth G. Wilson · 1977
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Classical Lumps and their Quantum Descendents
Sidney R. Coleman · 1977
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Gauge Fixing, the Transfer Matrix, and Confinement on a Lattice
Michael Creutz · 1977
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The Problem of Mass
Steven Weinberg · 1977
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Lattice fermions
Leonard Susskind · 1977
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Some remarks on the Gribov ambiguity
I.M. Singer · 1978
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Monte Carlo Study of Abelian Lattice Gauge Theories
Michael Creutz, Laurence Jacobs, and Claudio Rebbi · 1979
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Path integral measure for gauge invariant fermion theories
Kazuo Fujikawa · 1979
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The uses of instantons
Sidney R. Coleman · 1979
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A note on the quark content of large color groups
Edward Corrigan and Pierre Ramond · 1979
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Ordinary predictions from grand principles: T quark mass in O(10)
Howard Georgi and Dimitri V. Nanopoulos · 1979
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CP Violating Effects in QCD
Varouzhan Baluni · 1979
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Current algebra theorems for the u ( 1 ) u(1) goldstone boson
Edward Witten · 1979
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u ( 1 ) u(1) without instantons
G. Veneziano · 1979
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Large N chiral dynamics
Edward Witten · 1980
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Is the effective lagrangian for QCD a Sigma model?
C. Rosenzweig, J. Schechter, and C.G. Trahern · 1980
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The problem of eta in the large N limit: effective Lagrangian approach
Ken Kawarabayashi and Nobuyoshi Ohta · 1980
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Monte Carlo Study of Quantized SU(2) Gauge Theory
M. Creutz · 1980
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The connection between the Lambda parameters of lattice and continuum QCD
Anna Hasenfratz and Peter Hasenfratz · 1980
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Chiral symmetry breaking in confining theories
Tom Banks and A. Casher · 1980
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Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking
Gerard ’t Hooft · 1980
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On the partial conservation of the U(1) current
Ken Kawarabayashi and Nobuyoshi Ohta · 1981
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Vacuum structure and chiral charge quantization in the large N limit
Nobuyoshi Ohta · 1981
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A statistical approach to quantum mechanics
M. Creutz and B. Freedman · 1981
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Monte Carlo integration for lattice gauge theories with fermions
D.H. Weingarten and D.N. Petcher · 1981
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A proposal for Monte Carlo simulations of fermionic Systems
F. Fucito, E. Marinari, G. Parisi, and C. Rebbi · 1981
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A method for performing Monte Carlo calculations for systems with fermions
D.J. Scalapino and R.L. Sugar · 1981
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The scales of Euclidean and Hamiltonian lattice QCD
Anna Hasenfratz and Peter Hasenfratz · 1981
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The relationship between lattice and continuum definitions of the gauge theory coupling
Roger F. Dashen and David J. Gross · 1981
Cited alongside, same era.
Instantons and the m u m_{u} Quark Mass
Howard Georgi and Ian N. McArthur · 1981
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Absence of neutrinos on a lattice. 1. proof by homotopy theory
Holger Bech Nielsen and M. Ninomiya · 1981
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Lattice fermions in euclidean space-time
Luuk H. Karsten · 1981
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Lattice QCD with Ginsparg-Wilson fermions
Shailesh Chandrasekharan · 1999
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Locality properties of Neuberger’s lattice Dirac operator
Pilar Hernandez, Karl Jansen, and Martin Luscher · 1999
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Ginsparg-Wilson-Luscher symmetry and ultralocality
Ivan Horvath · 1999
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A study of chiral symmetry in quenched QCD using the overlap Dirac operator
Robert G. Edwards, Urs M. Heller, and Rajamani Narayanan · 1999
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Weak coupling expansion of massless QCD with a Ginsparg-Wilson fermion and axial U(1) anomaly
Yoshio Kikukawa and Atsushi Yamada · 1999
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Transfer matrices and lattice fermions at finite density
Michael Creutz · 2000
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Lattice fermions: species doubling, chiral invariance, and the triangle anomaly
Luuk H. Karsten and Jan Smit · 1981
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Susskind fermions on a Euclidean lattice
H.S. Sharatchandra, H.J. Thun, and P. Weisz · 1981
Cited alongside, same era.
Effective Lagrangians with U(1) axial anomaly. 1
Richard L. Arnowitt and Pran Nath · 1982
Cited alongside, same era.
Effective Lagrangians with U ( 1 ) U(1) axial anomaly. 2
Pran Nath and Richard L. Arnowitt · 1982
Cited alongside, same era.
On the phase structure of vector-like gauge theories with massless fermions
Tom Banks and A. Zaks · 1982
Cited alongside, same era.
Solitons and instantons. An introduction to solitons and instantons in quantum field theory
R. Rajaraman · 1982
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Lanczos approach to the inverse square root of a large and sparse matrix
Artan Borici · 2000
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Chiral symmetry, quark mass, and scaling of the overlap fermions
S.J. Dong, F.X. Lee, K.F. Liu, and J.B. Zhang · 2000
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Lattice regularization of chiral gauge theories to all orders of perturbation theory
Martin Luscher · 2000
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Lattice QCD with a chirally twisted mass term
Roberto Frezzotti, Pietro Antonio Grassi, Stefan Sint, and Peter Weisz · 2001
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A New approach to Ginsparg-Wilson fermions
Christof Gattringer · 2001
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SUSY relics in one flavor QCD from a new 1/N expansion
A. Armoni, M. Shifman, and G. Veneziano · 2003
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CP symmetry and the strong interactions
Michael Creutz · 2003
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Transiting topological sectors with the overlap
Michael Creutz · 2003
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Ambiguities in the up quark mass
Michael Creutz · 2004
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Spontaneous violation of CP symmetry in the strong interactions
Michael Creutz · 2004
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Effective Lagrangians for orientifold theories
F. Sannino and M. Shifman · 2004
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Positivity and topology in lattice gauge theory
Michael Creutz · 2004
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Chirally improving Wilson fermions. 1. O(a) improvement
R. Frezzotti and G.C. Rossi · 2004
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Topological effects in QCD and the problem of short distance singularities
Martin Luscher · 2004
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Topological susceptibility in full QCD with Ginsparg-Wilson fermions
Leonardo Giusti, G.C. Rossi, and M. Testa · 2004
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Lattice gauge theories: an introduction
H.J. Rothe · 2005
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Chiral perturbation theory for twisted mass QCD
Gernot Munster, Christian Schmidt, and Enno E. Scholz · 2005
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Hidden symmetries in two dimensional field theory
Michael Creutz · 2006
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Lattice methods for quantum chromodynamics
Thomas DeGrand and Carleton E. Detar · 2006
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(In)validity of large N orientifold equivalence
Mithat Unsal and Laurence G. Yaffe · 2006
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Isospin breaking and the chiral condensate
Michael Creutz · 2006
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The QCD transition temperature: Results with physical masses in the continuum limit
Y. Aoki, Z. Fodor, S.D. Katz, and K.K. Szabo · 2006
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One flavor QCD
Michael Creutz · 2007
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Dynamical twisted mass fermions with light quarks
Ph. Boucaud et al · 2007
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Effective potentials, thermodynamics, and twisted mass quarks
Michael Creutz · 2007
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The evil that is rooting
Michael Creutz · 2007
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Why rooting fails
Michael Creutz · 2007
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Quantitative comparison of filtering methods in lattice QCD
Falk Bruckmann, Christof Gattringer, Ernst-Michael Ilgenfritz, Michael Muller-Preussker, Andreas Schafer, et al · 2007
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Spontaneous CP-violation in the strong interaction at theta = pi
Daniel Boer and Jorn K. Boomsma · 2008
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Comments on staggered fermions / Panel discussion
Michael Creutz · 2008
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The ’t Hooft vertex revisited
Michael Creutz · 2008
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Four-dimensional graphene and chiral fermions
Michael Creutz · 2008
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Creutz fermions on an orthogonal lattice
Artan Borici · 2008
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Search for fermion actions on hyperdiamond lattices
Paulo F. Bedaque, Michael I. Buchoff, Brian C. Tiburzi, and Andre Walker-Loud · 2008
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The QCD equation of state with almost physical quark masses
M. Cheng, N.H. Christ, S. Datta, J. van der Heide, C. Jung, et al · 2008
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Theta dependence of S U ( N ) SU(N) gauge theories in the presence of a topological term
Ettore Vicari and Haralambos Panagopoulos · 2009
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Anomalies and chiral symmetry in QCD
Michael Creutz · 2009
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Anomalies and discrete chiral symmetries
Michael Creutz · 2009
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Quantum chromodynamics on the lattice
Christof Gattringer and Christian B. Lang · 2010
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Microscopic Spectrum of the Wilson Dirac Operator
P.H. Damgaard, K. Splittorff, and J.J.M. Verbaarschot · 2010
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Classification and Generalization of Minimal-doubling actions
Tatsuhiro Misumi, Michael Creutz, and Taro Kimura · 2010
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Lattice fermions based on higher-dimensional hyperdiamond lattices
Taro Kimura and Tatsuhiro Misumi · 2010
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Classification of Minimally Doubled Fermions
Michael Creutz and Tatsuhiro Misumi · 2010
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Renormalization of minimally doubled fermions
Stefano Capitani, Michael Creutz, Johannes Weber, and Hartmut Wittig · 2010
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Chiral lattice fermions, minimal doubling, and the axial anomaly
Brian C. Tiburzi · 2010
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Nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
A. Bazavov, D. Toussaint, C. Bernard, J. Laiho, C. DeTar, et al · 2010
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Properties and uses of the Wilson flow in lattice QCD
Martin Luscher · 2010
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Comparing topological charge definitions using topology fixing actions
Falk Bruckmann, Florian Gruber, Karl Jansen, Marina Marinkovic, Carsten Urbach, et al · 2010
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Wilson mass dependence of the overlap topological charge density
Peter J. Moran, Derek B. Leinweber, and Jianbo Zhang · 2010
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Universality of the topological susceptibility in the SU(3) gauge theory
Martin Luscher and Filippo Palombi · 2010
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Chiral lattice gauge theories via mirror-fermion decoupling: a mission (im)possible?
Erich Poppitz and Yanwen Shang · 2010
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Quark mass dependence of two-flavor QCD
Michael Creutz · 2011
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Possible evidence for the breakdown of the CKM-paradigm of CP-violation
E. Lunghi and Amarjit Soni · 2011
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Anomalies, gauge field topology, and the lattice
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