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The deconfinement transition of finite density QCD with heavy quarks from strong coupling series
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Starting from Wilson's action, we calculate strong coupling series for the Polyakov loop susceptibility in lattice gauge theories for various small N_\tau in the thermodynamic limit. Analysing the series with Pad\'e 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_\tau=1,2 lattices are at the percent level. For QCD we include dynamical fermions via a hopping parameter expansion. On a N_\tau=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 \mu. Our series moreover correctly reflects the known Z(N) transition at imaginary chemical potential.
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Cited by 2 Pith papers
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QCD in the heavy dense regime for general $N_c$: On the existence of quarkyonic matter
An effective lattice calculation for heavy quarks at any Nc finds a first-order baryon onset and p~Nc scaling in the dense phase, consistent with quarkyonic matter, with continuum limits still out of reach.
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Finite-size effects and scaling properties of chiral and baryon-number fluctuations
In an effective chiral model retaining only the zero field mode, finite volume smooths the transition, regulates critical fluctuations, and shifts the baryon-kurtosis peak to lower collision energies.
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