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  • Letter
  • Open Access

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

Swagato Mukherjee1 and Vladimir Skokov2,3

  • 1Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA
  • 2Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA
  • 3RIKEN/BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA

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Phys. Rev. D 103, L071501 – Published 14 April, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L071501

Abstract

Recent lattice QCD calculations strongly indicate that the chiral crossover of QCD at zero baryon chemical potential (μB) 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 μB using nonuniversal 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 nonuniversal parameters we map this singularity to the real T and complex μB plane, leading to the determination of the radius of convergence in μB 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 μB>0. Implication of this result on the location of the conjectured QCD critical point is discussed.

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Phys. Rev. D 103, L071501– Published 14 April, 2021
  • Received 16 September 2019
  • Accepted 19 March 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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