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Monte Carlo methods have led to profound insights into the strong-coupling behaviour of lattice gauge theories and produced remarkable results such as first-principles computations of hadron masses.
C.-Y. Park and M. J. Kastoryano, “Geometry of learning neural quantum states”, Phys. Rev. Research
1910
Earlier work this paper cites.
M. Creutz, L. Jacobs, and C. Rebbi, “Monte Carlo Study of Abelian Lattice Gauge Theories”, Phys. Rev. D
1915
Earlier work this paper cites.
D. H. Weinstein, “Modified ritz method”, Proc. Natl. Acad. Sci
1934
Earlier work this paper cites.
A. F. Stevenson, “On the lower bounds of Weinstein and Romberg in quantum mechanics”, Phys. Rev
1938
Earlier work this paper cites.
C.-N. Yang and T. D. Lee, “Statistical theory of equations of state and phase transitions. 1. Theory of condensation”, Phys. Rev
1952
Earlier work this paper cites.
T. D. Lee and C.-N. Yang, “Statistical theory of equations of state and phase transitions. 2. Lattice gas and Ising model”, Phys. Rev
1952
Earlier work this paper cites.
Y. Nambu and G. Jona-Lasinio, “Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. 1.”, Phys. Rev
1961
Earlier work this paper cites.
Y. Nambu and G. Jona-Lasinio, “Dynamical model of elementary particles based on an analogy with superconductivity. II.”, Phys. Rev
1961
Earlier work this paper cites.
R. Bulirsch and J. Stoer, “Numerical treatment of ordinary differential equations by extrapolation methods”, Numer. Math
1966
Earlier work this paper cites.
F. J. Wegner, “Duality in Generalized Ising Models and Phase Transitions Without Local Order Parameters”, J. Math. Phys
1971
Earlier work this paper cites.
M. E. Fisher and M. N. Barber, “Scaling theory for finite-size effects in the critical region”, Phys. Rev. Lett
1972
Earlier work this paper cites.
K. G. Wilson, “Confinement of Quarks”, Phys. Rev. D
1974
Earlier work this paper cites.
B. Widom, “The critical point and scaling theory”, Physica
1974
Earlier work this paper cites.
J. B. Kogut and L. Susskind, “Hamiltonian Formulation of Wilson’s Lattice Gauge Theories”, Phys. Rev. D
1975
Earlier work this paper cites.
S. Elitzur, “Impossibility of Spontaneously Breaking Local Symmetries”, Phys. Rev. D
1975
Earlier work this paper cites.
A. M. Polyakov, “Compact Gauge Fields and the Infrared Catastrophe”, Phys. Lett. B
1975
Earlier work this paper cites.
A. M. Polyakov, “Quark Confinement and Topology of Gauge Groups”, Nucl. Phys. B
1977
Earlier work this paper cites.
E. H. Fradkin and L. Susskind, “Order and Disorder in Gauge Systems and Magnets”, Phys. Rev. D
1978
Earlier work this paper cites.
D. Horn, M. Weinstein, and S. Yankielowicz, “Hamiltonian approach to Z(N) lattice gauge theories”, Phys. Rev. D
1979
Earlier work this paper cites.
S. Elitzur, R. B. Pearson, and J. Shigemitsu, “The Phase Structure of Discrete Abelian Spin and Gauge Systems”, Phys. Rev. D
1979
Earlier work this paper cites.
J. B. Kogut, “An Introduction to Lattice Gauge Theory and Spin Systems”, Rev. Mod. Phys
1979
Earlier work this paper cites.
M. Creutz, “Asymptotic Freedom Scales”, Phys. Rev. Lett
1980
Earlier work this paper cites.
G. Bhanot and M. Creutz, “Phase diagram of Z ( N ) Z(N) and U ( 1 ) U(1) gauge theories in three dimensions”, Phys. Rev. D
1980
Earlier work this paper cites.
H. Grosse, C. B. Lang, and H. Nicolai, “Equivalence of the Z ( 4 ) Z(4) and Z ( 2 ) × Z ( 2 ) Z(2)\times Z(2) Lattice Gauge Theories”, Phys. Lett. B
1981
Earlier work this paper cites.
C. Omero, “Gauge-invariant variational study of the Hamiltonian U ( 1 ) U(1) and Z N Z_{N} model and critical space-time dimensionality”, Phys. Lett. B
1982
Earlier work this paper cites.
World Scientific, 1983
C. Rebbi, Lattice Gauge Theories and Monte Carlo Simulations · 1983
Earlier work this paper cites.
D. E. Rumelhart, G. E. Hinton, and R. J. Williams, “Learning representations by back-propagating errors”, Nature
1986
Earlier work this paper cites.
M. Henkel and A. Patkos, “Conformal structure in the spectrum of an altered quantum Ising chain”, J. Phys. A: Math. Gen
1987
Earlier work this paper cites.
M. Henkel and G. Schutz, “Finite-lattice extrapolation algorithms”, J. Phys. A: Math. Gen
1988
Earlier work this paper cites.
G. Cybenko, “Approximation by superpositions of a sigmoidal function”, Math. Control Signals Syst
1989
Earlier work this paper cites.
M. Fukugita and M. Okawa, “Correlation Length of the Three State Potts Model in Three-dimensions”, Phys. Rev. Lett
1989
Earlier work this paper cites.
U. Wolff, “Critical slowing down”, Nucl. Phys. B Proc. Suppl
1990
Earlier work this paper cites.
N. Read and S. Sachdev, “Large-N expansion for frustrated quantum antiferromagnets”, Phys. Rev. Lett
1991
Earlier work this paper cites.
X. Wen, “Mean-field theory of spin-liquid states with finite energy gap and topological orders”, Phys. Rev. B
1991
Earlier work this paper cites.
F. A. Bais, P. van Driel, and M. de Wild Propitius, “Quantum symmetries in discrete gauge theories”, Phys. Lett. B
1992
Earlier work this paper cites.
Springer New York, 1992
B. Efron, “Bootstrap methods: Another look at the jackknife”, in Breakthroughs in Statistics: Methodology and Distribution · 1992
Earlier work this paper cites.
E. Buffenoir and S. Wallon, “The Correlation length of the Potts model at the first order transition point”, J. Phys. A
1993
Earlier work this paper cites.
J. Zinn-Justin, “Quantum field theory and critical phenomena”, Int. Ser. Monogr. Phys
1996
Earlier work this paper cites.
Cambridge University Press, 1996
J. Cardy, Scaling and Renormalization in Statistical Physics · 1996
Earlier work this paper cites.
S. Sorella, “Green function Monte Carlo with stochastic reconfiguration”, Phys. Rev. Lett
1998
Cited alongside, same era.
S.-i. Amari, “Natural Gradient Works Efficiently in Learning”, Neural Comput
1998
Cited alongside, same era.
R. Guida and J. Zinn-Justin, “Critical exponents of the N-vector model”, J. Phys. A: Math. Gen
1998
Cited alongside, same era.
H. E. Stanley, “Scaling, universality, and renormalization: Three pillars of modern critical phenomena”, Rev. Mod. Phys
1999
Cited alongside, same era.
F. Wilczek, “QCD made simple”, Physics Today
2000
Cited alongside, same era.
J. M. Maldacena, G. W. Moore, and N. Seiberg, “D-brane charges in five-brane backgrounds”, JHEP
2001
Cited alongside, same era.
2013
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2014
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Y. LeCun, Y. Bengio, and G. Hinton, “Deep learning”, Nature
2015
Later among the works it cites.
D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett, “Generalized Global Symmetries”, JHEP
2015
Later among the works it cites.
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M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, “Critical behavior of the three-dimensional XY universality class”, Phys. Rev. B
2001
Cited alongside, same era.
S. Sorella, “Generalized Lanczos algorithm for variational quantum Monte Carlo”, Phys. Rev. B
2001
Cited alongside, same era.
S. M. Bhattacharjee and F. Seno, “A measure of data collapse for scaling”, J. Phys. A: Math. Gen
2001
Cited alongside, same era.
Z. Fodor and S. D. Katz, “Lattice determination of the critical point of QCD at finite T and mu”, JHEP
2002
Cited alongside, same era.
2002
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2002
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2015
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2017
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D.-L. Deng, X. Li, and S. Das Sarma, “Quantum entanglement in neural network states”, Phys. Rev. X
2017
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D. Simmons-Duffin, “The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT”, JHEP
2017
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2018
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2018
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D. Kochkov and B. K. Clark, “Variational optimization in the ai era: Computational graph states and supervised wave-function optimization”, 2018 · 2018
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J. Xu, A. M. Ferrenberg, and D. P. Landau, “92 Years of the Ising Model: A High Resolution Monte Carlo Study”, J. Phys. Conf. Ser
2018
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2018
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2019
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2019
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2021
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R. Medina, R. Vasseur, and M. Serbyn, “Entanglement transitions from restricted boltzmann machines”, Phys. Rev. B
2021
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2022
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M. Favoni, A. Ipp, D. I. Müller, and D. Schuh, “Lattice Gauge Symmetry in Neural Networks”, PoS
2022
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2022
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2022
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2022
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2022
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