出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要:We report on the behavior of the eigenvalue distribution of the Dirac operator in (2+1)-flavor QCD at finite temperature, using the HISQ action. We calculate the eigenvalue density at several values of the temperature close to the pseudo-critical temperature. For this study we use gauge field configurations generated on lattices of size 323×8 with two light quark masses corresponding to pion masses of about 160 and 115 MeV. We find that the eigenvalue density below Tc receives large contributions from near-zero modes which become smaller as the temperature increases or the light quark mass decreases. Moreover we find no clear evidence for a gap in the eigenvalue density up to 1.1Tc. We also analyze the eigenvalue density near Tc where it appears to show a power-law behavior consistent with what is expected in the critical region near the second order chiral symmetry restoring phase transition in the massless limit.