Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2011-11-08
PoS (Lattice 2011) 210
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 7 figures, talk presented at the XXIX International Symposium on Lattice Field Theory, July 10-16 2011, Squaw Valley,
Scientific paper
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 pseudocritical temperature. For this study we use gauge field configurations generated on lattices of size $32^3 \times 8$ with two light quark masses corresponding to pion masses of about 160 and 115 MeV. We find that the eigenvalue density below $T_c$ 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 1.1$T_c$. We also analyze the eigenvalue density near $T_c$ 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.
Heller Urs M.
Karsch Frithjof
Mukherjee Soma
Ohno Hayato
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