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Title: More about chiral symmetry restoration at finite temperature in the planar limit

Abstract

In the planar limit, in the deconfined phase, the Euclidean Dirac operator has a spectral gap around zero. We show that functions of eigenvalues close to the spectral edge, which are independent of common rescalings and shifts gauge configuration by gauge configuration, have distributions described by a Gaussian Hermitian matrix model. However, combinations of eigenvalues that are scale and shift invariant only on the average, do not match this matrix model.

Authors:
;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA
Sponsoring Org.:
USDOE - Office of Energy Research (ER)
OSTI Identifier:
908715
Report Number(s):
JLAB-THY-07-644; DOE/ER/40150-4283; hep-lat/0612006
Journal ID: ISSN 0370-2693; PYLBAJ; TRN: US0703750
DOE Contract Number:
AC05-84ER40150
Resource Type:
Journal Article
Resource Relation:
Journal Name: Phys.Lett.B; Journal Volume: 646
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; CONFIGURATION; DIRAC OPERATORS; EIGENVALUES; HERMITIAN MATRIX

Citation Formats

R. Narayanan, and H. Neuberger. More about chiral symmetry restoration at finite temperature in the planar limit. United States: N. p., 2007. Web. doi:10.1016/j.physletb.2006.12.075.
R. Narayanan, & H. Neuberger. More about chiral symmetry restoration at finite temperature in the planar limit. United States. doi:10.1016/j.physletb.2006.12.075.
R. Narayanan, and H. Neuberger. Thu . "More about chiral symmetry restoration at finite temperature in the planar limit". United States. doi:10.1016/j.physletb.2006.12.075. https://www.osti.gov/servlets/purl/908715.
@article{osti_908715,
title = {More about chiral symmetry restoration at finite temperature in the planar limit},
author = {R. Narayanan and H. Neuberger},
abstractNote = {In the planar limit, in the deconfined phase, the Euclidean Dirac operator has a spectral gap around zero. We show that functions of eigenvalues close to the spectral edge, which are independent of common rescalings and shifts gauge configuration by gauge configuration, have distributions described by a Gaussian Hermitian matrix model. However, combinations of eigenvalues that are scale and shift invariant only on the average, do not match this matrix model.},
doi = {10.1016/j.physletb.2006.12.075},
journal = {Phys.Lett.B},
number = ,
volume = 646,
place = {United States},
year = {Thu Mar 01 00:00:00 EST 2007},
month = {Thu Mar 01 00:00:00 EST 2007}
}