The chiral condensate from the Dirac spectrum in BSM gauge theories

Fodor, Zoltán and Holland, Kieran and Kuti, Julius and Nógrádi, Dániel and Wong, Chik Him (2014) The chiral condensate from the Dirac spectrum in BSM gauge theories. POS - PROCEEDINGS OF SCIENCE, 2013. ISSN 1824-8039

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Abstract

The eigenvalues of the Dirac operator at finite volume encode whether or not chiral symmetry is spontaneously broken in a massless theory. We apply this framework in a particular BSM context, namely SU(3) gauge theory with Nf = 2 massless flavors in the 2-index symmetric (sextet) representation. Our first results are at a single lattice spacing. We find that both the density of near-zero eigenvalues and the renormalization group invariant mode number indicate spontaneous symmetry breaking. Quantitatively, there is a discrepancy between the determination of the fermion condensate in the chiral limit via the eigenvalue spectrum and the determinations from direct measurements of the chiral condensate and the GMOR relation. We comment on possible explanations of this discrepancy and further refinements of this study.

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