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arXiv · 2112.06505

Deconfinement critical point of heavy quark effective lattice theories

Jangho Kim·Anh Quang Pham·Owe Philipsen
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Abstract

Effective three-dimensional Polyakov loop theories derived from QCD by strong coupling and hopping expansions are valid for heavy quarks and can also be applied to finite chemical potential $\mu$, due to their considerably milder sign problem. We apply the Monte-Carlo method to the $N_f=1,2$ effective theories up to $\mathcal{O}(\kappa^4)$ in the hopping parameter at $\mu=0$ to determine the critical quark mass, at which the first-order deconfinement phase transition terminates. The critical end point obtained from the effective theory to order $\mathcal{O}(\kappa^2)$ agrees well with 4-dimensional QCD simulations with a hopping expanded determinant by the WHOT-QCD collaboration. We also compare with full QCD simulations and thus obtain a measure for the validity of both the strong coupling and the hopping expansion in this regime.

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Jangho Kim, Anh Quang Pham, Owe Philipsen. 2021-12-13. Deconfinement critical point of heavy quark effective lattice theories. https://arxiv.org/abs/2112.06505

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