The deconfinement transition of finite density QCD with heavy quarks from strong coupling series

Abstract

Starting from Wilson's action, we calculate strong coupling series for the Polyakov loop susceptibility in lattice gauge theories for various small N_τin the thermodynamic limit. Analysing the series with Padé approximants, we estimate critical couplings and exponents for the deconfinement phase transition. For SU(2) pure gauge theory our results agree with those from Monte-Carlo simulations within errors, which for the coarser N_τ=1,2 lattices are at the percent level. For QCD we include dynamical fermions via a hopping parameter expansion. On a N_τ=1 lattice with N_f=1,2,3, we locate the second order critical point where the deconfinement transition turns into a crossover. We furthermore determine the behaviour of the critical parameters with finite chemical potential and find the first order region to shrink with growing μ. Our series moreover correctly reflects the known Z(N) transition at imaginary chemical potential.

18 pages, 7 figures, typos corrected, version published in JHEP

References in corpus (6)

• Nuclear Physics from lattice QCD at strong coupling
• Lattice QCD at finite temperature and density
• Phase diagram evolution at finite coupling in strong coupling lattice QCD
• Finite temperature SU(2) gauge theory: critical coupling and universality class
• Phase diagram at finite temperature and quark density in the strong coupling region of lattice QCD for color SU(3)
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Cited by in corpus (21)

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• Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential
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• Holographic Description of the Phase Diagram of a Chiral Symmetry Breaking Gauge Theory
• Flux representation of an effective Polyakov loop model for QCD thermodynamics
• Centre symmetric 3d effective actions for thermal SU(N) Yang-Mills from strong coupling series
• Introductory lectures to large-N QCD phenomenology and lattice results
• Polyakov loop fluctuations and deconfinement in the limit of heavy quarks
• QCD in the heavy dense regime for general $N_c$: On the existence of quarkyonic matter
• Chiral and deconfinement transitions in strong coupling lattice QCD with finite coupling and Polyakov loop effects
• The density in the density of states method
• The fate of the critical endpoint at large $N_c$
• Equation of state for cold and dense heavy QCD
• Polyakov loop effects on the phase diagram in strong-coupling lattice QCD
• Large N lattice QCD and its extended strong-weak connection to the hypersphere
• Towards a theoretical description of dense QCD
• The SU(3) spin model with chemical potential by series expansion techniques
• Strong coupling methods in QCD thermodynamics
• Some Considerations concerning the Fluctuation of the Ratios of two Observables
• Finite-size effects and scaling properties of chiral and baryon-number fluctuations