Dual Formulation and Phase Diagram of Lattice QCD in the Strong Coupling Regime

Abstract

We present the computation of invariants that arise in the strong coupling expansion of lattice QCD. These invariants are needed for Monte Carlo simulations of Lattice QCD with staggered fermions in a dual, color singlet representation. This formulation is in particular useful to tame the finite density sign problem. The gauge integrals in this limiting case $\beta \to 0$ are well known, but the gauge integrals needed to study the gauge corrections are more involved. We discuss a method to evaluate such integrals. The phase boundary of lattice QCD for staggered fermions in the ${\mu }_B-T$ plane has been established in the strong coupling limit. We present numerical simulations away from the strong coupling limit, taking into account the higher order gauge corrections via plaquette occupation numbers. This allows to study the nuclear and chiral transition as a function of $\beta$.

16 pages, 10 figures, Proceedings of the 35th International Symposium on Lattice Field Theory, Granada, Spain

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Cited by in corpus (9)

• A new dual representation for staggered lattice QCD
• Path optimization in 0+1 dimensional QCD at finite density
• Constraining the QCD phase diagram at finite temperature and density
• Strong Coupling Lattice QCD in the Continuous Time Limit
• Nuclear Liquid-Gas Transition in the Strong Coupling Regime of Lattice QCD
• Strong coupling methods in QCD thermodynamics
• On the $\beta$- and quark mass dependence of the nuclear transition in the strong coupling regime
• Abelian color cycle and abelian color flux dualization methods for non-abelian lattice field theories
• QCD at high temperature and density: selected highlights