Application of the path optimization method to the sign problem in an effective model of QCD with a repulsive vector-type interaction

Abstract

The path optimization method is applied to a QCD effective model with the Polyakov loop and the repulsive vector-type interaction at finite temperature and density to circumvent the model sign problem. We show how the path optimization method can increase the average phase factor and control the model sign problem. This is the first study which correctly treats the repulsive vector-type interaction in the QCD effective model with the Polyakov-loop via the Markov-chain Monte-Carlo approach. It is shown that the complexification of the temporal component of the gluon field and also the vector-type auxiliary field are necessary to evade the model sign problem within the standard path-integral formulation.

7 pages, 3 figures

References in corpus (40)

• Chiral effective model with the Polyakov loop
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• The QCD phase diagram for small densities from imaginary chemical potential
• Lattice determination of the critical point of QCD at finite T and μ
• Finite density QCD via imaginary chemical potential
• Polyakov loop, diquarks and the two-flavour phase diagram
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• A new method to study lattice QCD at finite temperature and chemical potential
• High density QCD on a Lefschetz thimble?
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• QCD at finite chemical potential with six time slices
• The QCD equation of state at nonzero densities: lattice result
• Hybrid Monte Carlo on Lefschetz Thimbles -- A study of the residual sign problem
• QCD thermodynamics from an imaginary mu_B: results on the four flavor lattice model
• Lattice QCD at finite density via a new canonical approach
• Finite density QCD with a canonical approach
• Toward solving the sign problem with path optimization method
• Finite-Density Monte Carlo Calculations on Sign-Optimized Manifolds
• Model study of the sign problem in the mean-field approximation
• Deep Learning Beyond Lefschetz Thimbles
• Phase diagram of QCD at finite temperature and chemical potential from lattice simulations with dynamical Wilson quarks
• Nonlocal Polyakov-Nambu-Jona-Lasinio model and imaginary chemical potential
• Evading the sign problem in the mean-field approximation through Lefschetz-thimble path integral
• Finite density phase transition of QCD with $N_f=4$ and $N_f=2$ using canonical ensemble method
• Application of neural network to sign problem via path optimization method
• QCD at Zero Baryon Density and the Polyakov Loop Paradox
• Complex Saddle Points and Disorder Lines in QCD at finite temperature and density
• One-dimensional QCD in thimble regularization
• Complex saddle points in QCD at finite temperature and density
• Control the model sign problem via path optimization method: Monte-Carlo approach to QCD effective model with Polyakov loop
• Dynamical stabilisation of complex Langevin simulations of QCD
• Thermodynamics and quark susceptibilities: a Monte-Carlo approach to the PNJL model
• The complex Langevin analysis of spontaneous symmetry breaking induced by complex fermion determinant
• A simple approach towards the sign problem using path optimisation
• QCD phase transition at real chemical potential with canonical approach
• Responses of quark condensates to the chemical potential
• Lefschetz thimbles in fermionic effective models with repulsive vector-field
• Path optimization method for the sign problem
• Unification of the complex Langevin method and the Lefschetz-thimble method

Cited by in corpus (16)

• Review on novel methods for lattice gauge theories
• Exploring QCD matter in extreme conditions with Machine Learning
• Path integral contour deformations for observables in $SU(N)$ gauge theory
• Path integral contour deformations for noisy observables
• Path optimization in 0+1 dimensional QCD at finite density
• Real-time lattice gauge theory actions: unitarity, convergence, and path integral contour deformations
• Path optimization for $U(1)$ gauge theory with complexified parameters
• Gauge invariant input to neural network for path optimization method
• Perturbative Removal of a Sign Problem
• Improving efficiency of the path optimization method for a gauge theory
• Deep Learning of Fermion Sign Fluctuations
• Convex optimization and contour deformations
• Application of the path optimization method to a discrete spin system
• Single Particle Spectrum of Doped ${\mathrm{C}}_{20}{\mathrm{H}}_{12}$-Perylene
• Sign optimization and complex saddle points in one-dimensional QCD
• Path optimization method for the sign problem caused by fermion determinant