Dirac Eigenvalue Spectrum at Finite Temperature Using Domain Wall Fermions

Details Dirac Eigenvalue Spectrum at Finite Temperature Using Domain Wall Fermions Dirac Eigenvalue Spectrum at Finite Temperature Using Domain Wall Fermions

2011-11-03

arxiv.org/abs/1111.0988v1

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 4 figures, presented at The XXIX International Symposium on Lattice Field Theory - Lattice 2011, July 10-16, 2011, Sq

Scientific paper

We present a study of the Dirac eigenvalue spectrum near the region of the QCD phase transition. This study makes use of a sequence of ensembles with temperatures from 150 MeV to 200 MeV generated with $2 + 1$ flavors of dynamical domain wall fermions (DWF) and the dislocation sup- pressing determinant ratio (DSDR) action on a $16^3\times 8$ lattice with an extent of 32 or 48 in the fifth dimension. All the simulations lie on a line of constant physics with 200 MeV pions. The DWF Dirac operator is normalized using the methods of Giusti and Luscher combined with those of Rome-Southampton collaboration, allowing a direct evaluation of the Banks-Casher relation. The relation between the resulting temperature-dependent Dirac eigenvalue spectrum and the possible restoration of $U(1)_A$ symmetry with increasing temperature is discussed.

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