2020/01/15 by Heng-Tong Ding, Olaf Kaczmarek, Ding, Heng-Tong +11
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2001.05217
openalex publication_date 2020/01/15 · openalex created_date 2020/01/23 · openalex updated_date 2026/08/01
We utilize the eigenvalue filtering technique combined with the stochastic estimate of the mode number to determine the eigenvalue spectrum. Simulations of (2 + 1)-flavor QCD are performed using the Highly Improved Staggered Quarks (HISQ/tree) action on Nτ = 8 lattices with aspect ratios Nσ/Nτ ranging from 5 to 7. The strange quark mass is fixed to its physical value ms\rm phy, and the light quark masses ml are varied from ms\rm phy/40 to ms\rm phy/160 which correspond to pion mass mπ ranging from 110 MeV to 55 MeV in the continuum limit. We compute the chiral condensate and χπ - χδ through the eigenvalue spectrum obtained from the the eigenvalue filtering method. We compare these results with those obtained from a direct calculation of the observables which involves inversions of the fermion matrix using the stochastic "noise vector" method. We find that these approaches yield consistent results. Furthermore, we also investigate the quark mass and temperature dependences of the Dirac eigenvalue density at zero eigenvalues to gain more insights about the UA(1) symmetry breaking in QCD.