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Universality driven analytic structure of the QCD crossover: radius of convergence in the baryon chemical potential

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arxiv 1909.04639 v2 pith:47TUKYIG submitted 2019-09-10 hep-ph hep-latnucl-th

Swagato Mukherjee , Vladimir Skokov This is my paper · ORCID
classification hep-phhep-latnucl-th
keywords crossoverlatticeresultsanalyticbaryoncalculationschemicalchiral
verification ladder T0 review T1 audit T2 compute T3 formal
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Recent lattice QCD calculations strongly indicate that the chiral crossover of QCD at zero baryon chemical potential \mu_B is a remnant of the second-order chiral phase transition. Universal properties of this second-order phase transition can be mapped to QCD temperature T and \mu_B using non-universal parameters determined by lattice QCD recently. Motivated by these results, first, we discuss the analytic structure of the partition function in the QCD crossover regime - the so-called Yang-Lee edge singularity - solely based on universal properties. Next, utilizing the lattice QCD results for non-universal parameters we map this singularity to the real T and complex \mu_B plane, leading to the determination of the radius of convergence is in \mu_B in the QCD crossover regime. These universality- and QCD-based results provide tight constraints on the range of validity of the lattice QCD calculations at \mu_B. Implication of this result on the location of the conjectured QCD critical point is discussed.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. QCD Chiral Crossover Line from Lee-Yang Edge Singularities

    hep-lat 2026-08 conditional novelty 6.0 of 10

    Using lattice-derived Lee-Yang zeros and chiral universality, this paper reconstructs the QCD crossover curvature kappa2 = 0.012(+0.002,-0.004), consistent with prior lattice results, without inputting the curvature itself.

  2. Search for a Lee-Yang edge singularity in high-statistics Wuppertal-Budapest data

    hep-lat 2025-02 conditional novelty 4.0 of 10

    From Wuppertal-Budapest lattice data, the authors estimate the QCD critical endpoint temperature through Lee-Yang edge scaling, obtaining a highly uncertain median of 34 MeV.

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