U$_A$(1) breaking at finite temperature from the Dirac spectrum with the dynamical HISQ action - INSPIRE

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U $_A$ (1) breaking at finite temperature from the Dirac spectrum with the dynamical HISQ action

H. Ohno
(
- Bielefeld U.
)
,
U.M. Heller
(
- APS, New York
)
,
F. Karsch
(
- Bielefeld U. and
- Brookhaven
)
,
S. Mukherjee
(
- Brookhaven
)

Nov, 2012

7 pages

Part of Proceedings, 30th International Symposium on Lattice Field Theory (Lattice 2012) : Cairns, Australia, June 24-29, 2012

Published in:

PoS LATTICE2012 (2012) 095

Contribution to:

- Lattice 2012

e-Print:

1211.2591 [hep-lat]

DOI:

10.22323/1.164.0095

View in:

ADS Abstract Service

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Abstract: (arXiv)

We investigate

U_A(1)

breaking above

T_c

in terms of the Dirac spectrum on configurations with (2+1)-flavors, using the HISQ action. The strange quark mass is at its physical value. We use several light quark masses corresponding to the Goldstone pion masses in the range of about 115 -- 230 MeV on lattices of size 32

^3 \times

8 and 48

^3 \times

8. We calculate the 100 lowest-lying Dirac eigenvalues at temperatures below and above

T_c

. We investigate the volume dependence of the Dirac eigenvalue density to determine whether there is a gap around zero, which can appear if

U_A(1)

symmetry is restored in the chiral symmetric phase. We also investigate the quark mass dependence of the Dirac eigenvalue density at zero and check whether there is a linear behavior that would signal the

U_A(1)

breaking above

T_c

.

Note:

7 pages, 4 figures, talk presented at The 30th International Symposium on Lattice Field Theory, June 24-29, 2012, Cairns, Australia

quark: mass dependence
gap
lattice field theory
quantum chromodynamics
numerical calculations: Monte Carlo
symmetry: axial
symmetry breaking
spectrum
critical phenomena

References(13)

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