Finding the effective Polyakov line action for SU(3) gauge theories at finite chemical potential

Abstract

Motivated by the sign problem, we calculate the effective Polyakov line action corresponding to certain SU(3) lattice gauge theories on a $16^3\times 6$ lattice via the "relative weights" method introduced in our previous articles. The calculation is carried out at $\beta =5.6,5.7$ for the pure gauge theory, and at $\beta =5.6$ for the gauge field coupled to a relatively light scalar particle. In the latter example we determine the effective theory also at finite chemical potential, and show how observables relevant to phase structure can be computed in the effective theory via mean field methods. In all cases a comparison of Polyakov line correlators in the effective theory and the underlying lattice gauge theory, computed numerically at zero chemical potential, shows accurate agreement down to correlator magnitudes of order $10^{-5}$. We also derive the effective Polyakov line action corresponding to a gauge theory with heavy quarks and large chemical potential, and apply mean field methods to extract observables.

30 pages, 16 figures. v2: some additional comments added, Fig. 15 replaced

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Cited by in corpus (15)

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• Anatomy of the sign-problem in heavy-dense QCD
• Relative weights approach to SU(3) gauge theories with dynamical fermions at finite density
• A finite-density transition line for QCD with 695 MeV dynamical fermions
• Towards a theoretical description of dense QCD
• $\xi /{\xi }_{2nd}$ ratio as a tool to refine Effective Polyakov Loop models
• Polyakov line actions from SU(3) lattice gauge theory with dynamical fermions via relative weights
• Persistent homology analysis of deconfinement transition in effective Polyakov-line model
• Strong coupling methods in QCD thermodynamics
• INFN What Next: Ultra-relativistic Heavy-Ion Collisions
• Heavy dense QCD from a 3d effective lattice theory
• Numerical corrections to the strong coupling effective Polyakov-line action for finite T Yang-Mills theory