Dirac Eigenvalue Spectrum at Finite Temperature Using Domain Wall Fermions

2011/11/03 by Zhongjie Lin, Lin, Zhongjie, Zhaoxiang Lin
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.48550/arxiv.1111.0988

7 pages, 4 figures, presented at The XXIX International Symposium on Lattice Field Theory - Lattice 2011, July 10-16, 2011, Squaw Valley, Lake Tahoe, California

arxiv created 2011/11/03 · openalex publication_date 2011/11/03 · arxiv updated 2011/11/07 · openalex created_date 2020/05/01 · openalex updated_date 2026/07/28

Abstract

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 16³× 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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