Flux representation of an effective Polyakov loop model for QCD thermodynamics

Abstract

We discuss an effective Polyakov loop model for QCD thermodynamics with a chemical potential. Using high temperature expansion techniques the partition sum is mapped exactly onto the partition sum of a flux model. In the flux representation the complex action problem is resolved and a simulation with worm-type algorithms becomes possible also at finite chemical potential.

Two remarks added. Final version to appear in Nuclear Physics B

References in corpus (15)

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• Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential
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• The three-dimensional, three-state Potts Model in an External Field
• Centre symmetric 3d effective actions for thermal SU(N) Yang-Mills from strong coupling series
• The QCD phase diagram according to the center group
• Inverse Monte-Carlo determination of effective lattice models for SU(3) Yang-Mills theory at finite temperature
• Phase Structure of Z(3)-Polyakov-Loop Models
• The deconfinement transition of finite density QCD with heavy quarks from strong coupling series
• Strong coupling expansion for finite temperature Yang-Mills theory in the confined phase
• Potts Flux Tube Model at Nonzero Chemical Potential
• Effective lattice theories for Polyakov loops
• Effective Potential in the Strong-coupling Lattice QCD with Next-to-Next-to-Leading Order Effects
• Ward Identities for Invariant Group Integrals
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Cited by in corpus (51)

• Review on novel methods for lattice gauge theories
• The QCD deconfinement transition for heavy quarks and all baryon chemical potentials
• Approaches to the sign problem in lattice field theory
• Controlling complex Langevin dynamics at finite density
• Introductory lectures on lattice QCD at nonzero baryon number
• Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited
• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Stability of complex Langevin dynamics in effective models
• Lattice study of the Silver Blaze phenomenon for a charged scalar phi-4 field
• Complex Langevin dynamics and other approaches at finite chemical potential
• Monte Carlo simulation of the SU(3) spin model with chemical potential in a flux representation
• Two-colour QCD with heavy quarks at finite densities
• Worm algorithms for the 3-state Potts model with magnetic field and chemical potential
• Solutions to sign problems in lattice Yukawa models
• Understanding of QCD at high density from Z3-symmetric QCD-like theory
• Lattice gauge theory without link variables
• Mean field theory of effective spin models as a baryon fugacity expansion
• Gauge and matter fields as surfaces and loops - an exploratory lattice study of the Z(3) Gauge-Higgs model
• Effective Polyakov line action from the relative weights method
• Effective Polyakov line action from strong lattice couplings to the deconfinement transition
• New developments for dual methods in lattice field theory at non-zero density
• Developing and testing the density of states FFA method in the SU(3) spin model
• Phase diagram of the quantum O(2)-model in 2+1 dimensions
• Interplay between sign problem and Z_3 symmetry in three-dimensional Potts model
• Exact Large-Nc Solution of an Effective Theory for Polyakov Loops at Finite Chemical Potential
• Duals of U(N) LGT with staggered fermions
• Dual formulations of Polyakov loop lattice models
• Dual simulation of a Polyakov loop model at finite baryon density: phase diagram and local observables
• The Sign Problem, PT Symmetry and Abelian Lattice Duality
• Sign problem in $Z_3$-symmetric effective Polyakov-line model
• SU(N) polynomial integrals and some applications
• QCD thermodynamics on the lattice
• Three-quark potentials in an $SU(3)$ effective Polyakov loop model
• Solving the Complex Phase Problem in a QCD Related Model
• Developments in lattice QCD for matter at high temperature and density
• Flux simulation of the SU(3) spin model at finite chemical potential
• A finite-density transition line for QCD with 695 MeV dynamical fermions
• The SU(3) spin model with chemical potential by series expansion techniques
• The Polyakov loop models in the large N limit: Phase diagram at finite density
• $\xi /{\xi }_{2nd}$ ratio as a tool to refine Effective Polyakov Loop models
• Strong coupling methods in QCD thermodynamics
• Duals of lattice Abelian models with static determinant at finite density
• Diagrammatic Monte-Carlo for weak-coupling expansion of non-Abelian lattice field theories: large-N U(N)xU(N) principal chiral model
• Non-Local effective SU(2) Polyakov-loop models from inverse Monte-Carlo methods
• Density of states techniques for lattice field theories using the functional fit approach (FFA)
• The $\xi /{\xi }_{2nd}$ ratio as a test for Effective Polyakov Loop Actions
• The sign problem and Abelian lattice duality
• Preliminary QCD phase transition line for 695 MeV dynamical staggered fermions from effective Polyakov line actions
• Functional Fit Approach (FFA) for Density of States method: SU(3) spin system and SU(3) lattice gauge theory with static color sources
• Lattice gauge theories in the strong coupling and static limits as a sign-problem-free Ising model
• Late-Time Cosmic Acceleration from QCD Confinement Dynamics