Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

Microscopic origin of criticality at macroscale in QCD chiral phase transition

Journal Article · · EPJ Web of Conferences (Online)
 [1];  [1];  [2];  [2]
  1. Central China Normal University, Wuhan (China)
  2. Brookhaven National Laboratory (BNL), Upton, NY (United States)
+ Show Author Affiliations
We reveal that the criticality of the chiral phase transition in QCD at the macroscale arises from the microscopic energy levels of its fundamental constituents, the quarks. We establish a novel relation between cumulants of the chiral order parameter (i.e., chiral condensate) and correlations among the energy levels of quarks (i.e., eigenspectra of the massless Dirac operator), which naturally leads to a generalization of the Banks-Casher relation. Based on this novel relation and through (2+1)-flavor lattice QCD calculations using the HISQ action with varying light quark masses in the vicinity of the chiral phase transition, we demonstrate that the correlations among the infrared part of the Dirac eigenspectra exhibit same universal scaling behaviors as expected of the cumulants of the chiral condensate. We find that these universal scaling behaviors extend up to the physical values of the up and down quark masses.
Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC0012704
OSTI ID:
2448274
Report Number(s):
BNL-226156-2024-JAAM
Journal Information:
EPJ Web of Conferences (Online), Journal Name: EPJ Web of Conferences (Online) Vol. 296; ISSN 2100-014X
Publisher:
EDP SciencesCopyright Statement
Country of Publication:
United States
Language:
English

References (10)

Search for the QCD critical point with fluctuations of conserved quantities in relativistic heavy-ion collisions at RHIC: an overview journal July 2017
Chiral symmetry breaking in confining theories journal June 1980
A tool kit for staggered fermions journal January 1987
Finite-size-scaling functions for 3d O(4) and O(2) spin models and QCD journal August 2001
Sensitivity of the Polyakov loop and related observables to chiral symmetry restoration journal January 2021
Remarks on the chiral phase transition in chromodynamics journal January 1984
Magnetic equation of state in ( 2 + 1 )-flavor QCD journal November 2009
Chiral Phase Transition Temperature in ( 2 + 1 )-Flavor QCD journal August 2019
Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD journal February 2021
Microscopic Encoding of Macroscopic Universality: Scaling Properties of Dirac Eigenspectra near QCD Chiral Phase Transition journal October 2023

Similar Records

Spectrum of Dirac eigenvalues across QCD chiral transition
Journal Article · Mon Feb 10 19:00:00 EST 2025 · Journal of Subatomic Particles and Cosmology · OSTI ID:2587873
Determination of the chiral condensate from QCD Dirac spectrum on the lattice
Journal Article · Fri Apr 01 00:00:00 EDT 2011 · Physical Review. D, Particles Fields · OSTI ID:21537727

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS