The chiral condensate from the Dirac spectrum in BSM gauge theories

Zoltán Fodor, Kieran Holland, Julius Kuti, Dániel Nógrádi, Chik Him Wong

Research output: Contribution to journalConference articlepeer-review

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.

Original languageEnglish (US)
Article number089
JournalProceedings of Science
Volume29-July-2013
StatePublished - 2013
Event31st International Symposium on Lattice Field Theory, LATTICE 2013 - Mainz, Germany
Duration: Jul 29 2013Aug 3 2013

All Science Journal Classification (ASJC) codes

  • General

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