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Universality driven analytic structure of QCD crossover: radius of convergence and QCD critical point

Journal Article · · Nuclear Physics. A
 [1];  [1];  [2];  [3]
  1. North Carolina State Univ., Raleigh, NC (United States)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
  3. North Carolina State Univ., Raleigh, NC (United States); Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
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Recent lattice QCD calculations show strong indications that the crossover of QCD at zero baryon chemical potential (µB) is a remnant of the second order chiral phase transition. The non-universal parameters needed to map temperature T and µB to the universal properties of the second order chiral phase transition were determined by lattice QCD calculations. Motivated by these advances, first, we discuss the analytic structure of the partition function - the so-called Yang-Lee edge singularity - in the QCD crossover regime, solely based on universal properties. Then, utilizing the lattice calculated non-universal parameters, we map this singularity to the real T and complex µB plane, in order to find the radius of convergence for a Taylor series expansion of QCD partition function around µB = 0 in the QCD crossover regime. Our most important findings are: (i) An universality-based estimate of the radius of convergence around µB = 0; (ii) Universality and lattice QCD based constraints on the location of the QCD critical point in the T - µB plane.
Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States); North Carolina State Univ., Raleigh, NC (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC0012704; SC0020081
OSTI ID:
1763344
Alternate ID(s):
OSTI ID: 1760951
OSTI ID: 1777938
Report Number(s):
BNL-220896-2021-JAAM
Journal Information:
Nuclear Physics. A, Journal Name: Nuclear Physics. A Vol. 1005; ISSN 0375-9474
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
QCD
critical point
phase diagram