{
"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"
}
}
}