{ "id": "1909.04639", "version": "v1", "published": "2019-09-10T17:32:23.000Z", "updated": "2019-09-10T17:32:23.000Z", "title": "Universality driven analytic structure of QCD crossover: radius of convergence in baryon chemical potential", "authors": [ "Swagato Mukherjee", "Vladimir Skokov" ], "comment": "5 pages, 2 figures", "categories": [ "hep-ph", "hep-lat", "nucl-th" ], "abstract": "Recent lattice QCD calculations show strong indications that the chiral crossover of QCD at zero baryon chemical potential \\mu_B is a remnant of the second order chiral phase transition. Furthermore, the non-universal parameters needed to map temperature T and \\mu_B to the universal properties of the second order chiral phase transition have been determined recently. Motivated by these observations, first, we determine the analytic structure of the partition function -- the so-called Yang-Lee edge singularity -- in the QCD crossover regime, 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 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>0. Implication of this result on the location of the conjectured QCD critical point is discussed.", "revisions": [ { "version": "v1", "updated": "2019-09-10T17:32:23.000Z" } ], "analyses": { "keywords": [ "universality driven analytic structure", "baryon chemical potential", "second order chiral phase transition", "lattice qcd calculations", "qcd crossover regime" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }