Complex saddle points and the sign problem in complex Langevin simulation

E. B. Bogomolny, “Calculation of instanton-anti-instanton contributions in quantum mechanics,” Physics Letters B

1980

Earlier work this paper cites.

G. Parisi and Y.-s. Wu, “Perturbation Theory Without Gauge Fixing,” Sci.Sin

1981

Earlier work this paper cites.

J. Zinn-Justin, “Multi-instanton contributions in quantum mechanics,” Nuclear Physics B

1981

Earlier work this paper cites.

AMS, 1983

F. Pham, “Vanishing homologies and the n n variable saddlepoint method,” in Proc. Symp. Pure Math · 1983

Earlier work this paper cites.

G. Parisi, “On complex probabilities,” Phys. Lett. B

1983

Earlier work this paper cites.

F. Karsch and H. W. Wyld, “Complex Langevin Simulation of the SU(3) Spin Model With Nonzero Chemical Potential,” Phys. Rev. Lett

1985

Earlier work this paper cites.

J. Ambjorn, M. Flensburg, and C. Peterson, “The Complex Langevin Equation and Monte Carlo Simulations of Actions With Static Charges,” Nucl.Phys

1986

Earlier work this paper cites.

P. H. Damgaard and H. Huffel, “Stochastic Quantization,” Phys. Rep

1987

Earlier work this paper cites.

E. Dagotto, “Correlated electrons in high-temperature superconductors,” Rev. Mod. Phys

1994

Earlier work this paper cites.

S. Muroya, A. Nakamura, C. Nonaka, and T. Takaishi, “Lattice QCD at finite density: An Introductory review,” Prog. Theor. Phys

2003

Earlier work this paper cites.

T. D. Cohen, “Functional integrals for QCD at nonzero chemical potential and zero density,” Phys. Rev. Lett

2003

Earlier work this paper cites.

M. G. Alford, A. Schmitt, K. Rajagopal, and T. Schäfer, “Color superconductivity in dense quark matter,” Rev. Mod. Phys

2008

Earlier work this paper cites.

G. Aarts and I.-O. Stamatescu, “Stochastic quantization at finite chemical potential,” JHEP

Original

2008

Earlier work this paper cites.

C. Pehlevan and G. Guralnik, “Complex Langevin Equations and Schwinger-Dyson Equations,” Nucl.Phys

Original

2009

Earlier work this paper cites.

G. Guralnik and C. Pehlevan, “Effective Potential for Complex Langevin Equations,” Nucl.Phys

Original

2009

Earlier work this paper cites.

A. W. Sandvik, “Computational studies of quantum spin systems,” AIP Conference Proceedings

2010

Earlier work this paper cites.

AMS/IP Stud. Adv. Math., 2010

Original

E. Witten, “Analytic Continuation Of Chern-Simons Theory,” in Chern-Simons Gauge Theory: 20 Years After · 2010

Cited alongside, same era.

G. Aarts, E. Seiler, and I.-O. Stamatescu, “The Complex Langevin method: When can it be trusted?,” Phys. Rev. D

Original

2010

Cited alongside, same era.

G. Aarts and F. A. James, “On the convergence of complex Langevin dynamics: The Three-dimensional XY model at finite chemical potential,” JHEP

Original

2010

Cited alongside, same era.

G. Guralnik and Z. Guralnik, “Complexified path integrals and the phases of quantum field theory,” Ann. Phys

Original

2010

Cited alongside, same era.

C. K. Dumlu and G. V. Dunne, “The Stokes Phenomenon and Schwinger Vacuum Pair Production in Time-Dependent Laser Pulses,” Phys. Rev. Lett

G. Aarts, P. Giudice, and E. Seiler, “Localised distributions and criteria for correctness in complex Langevin dynamics,” Ann. Phys

Original

2013

Later among the works it cites.

A. Mollgaard and K. Splittorff, “Complex Langevin Dynamics for chiral Random Matrix Theory,” Phys. Rev. D

Original

2013

Later among the works it cites.

G. Basar, G. V. Dunne, and M. Unsal, “Resurgence theory, ghost-instantons, and analytic continuation of path integrals,” JHEP

Original

2013

Later among the works it cites.

A. Mukherjee and M. Cristoforetti, “Lefschetz thimble Monte Carlo for many body theories: application to the repulsive Hubbard model away from half filling,” Phys. Rev. B

Original

2014

Later among the works it cites.

D. Sexty, “Simulating full QCD at nonzero density using the complex Langevin equation,” Phys. Lett