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arxiv: 1802.02014 · v2 · pith:2G5U5ZGJnew · submitted 2018-02-06 · ✦ hep-lat

Lee-Yang zeros in lattice QCD for searching phase transition points

classification ✦ hep-lat
keywords lee-yangzerostemperaturedependencedistributionsfunctionsmaximalphase
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We report Lee-Yang zeros behavior at finite temperature and density. The quark number densities, <n>, are calculated at the pure imaginary chemical potential, where no sign problem occurs. Then, the canonical partition functions, Z_C(n,T,V), up to some maximal values of n are estimated through fitting theoretically motivated functions to <n>, which are used to compute the Lee-Yang zeros. We study the temperature dependence of the distributions of the Lee-Yang zeros around the pseudo-critical temperature region T/T_c = 0.84 - 1.35. In the distributions of the Lee-Yang zeros, we observe the Roberge-Weiss phase transition at T/T_c >= 1.20. We discuss the dependence of the behaviors of Lee-Yang zeros on the maximal value of n, so that we can estimate a reliable infinite volume limit.

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  1. The canonical approach at high temperature revisited

    hep-ph 2026-05 unverdicted novelty 5.0

    The paradox in the canonical approach at high temperature with the Roberge-Weiss transition originates from infinite-size effects and vanishes in finite-size systems due to smearing, validating the approach for lattice QCD.