Mean field exponents and small quark masses
Nuclear Theory
2010-03-04 v1 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
We demonstrate that the restoration of chiral symmetry at finite-T in a class of confining Dyson-Schwinger equation (DSE) models of QCD is a mean field transition, and that an accurate determination of the critical exponents using the chiral and thermal susceptibilities requires very small values of the current-quark mass: log_{10}(m/m_u) < -5. Other classes of DSE models characterised by qualitatively different interactions also exhibit a mean field transition. Incipient in this observation is the suggestion that mean field exponents are a result of the gap equation's fermion substructure and not of the interaction.
Cite
@article{arxiv.nucl-th/9808076,
title = {Mean field exponents and small quark masses},
author = {Arne Hoell and Pieter Maris and Craig D. Roberts},
journal= {arXiv preprint arXiv:nucl-th/9808076},
year = {2010}
}
Comments
13 pages, 3 figures, REVTEX, epsfig