The chiral condensate from the Dirac spectrum in BSM gauge theories

Z. Fodor, Kieran Holland, Julius Kuti, Dániel Nógrádi, Chik Him Wong

Research output: Contribution to journalArticle

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
Article number089
JournalUnknown Journal
Volume29-July-2013
Publication statusPublished - 2013

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condensates
gauge theory
eigenvalues
broken symmetry
fermions
spacing
operators
symmetry

ASJC Scopus subject areas

  • General

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Fodor, Z., Holland, K., Kuti, J., Nógrádi, D., & Wong, C. H. (2013). The chiral condensate from the Dirac spectrum in BSM gauge theories. Unknown Journal, 29-July-2013, [089].

The chiral condensate from the Dirac spectrum in BSM gauge theories. / Fodor, Z.; Holland, Kieran; Kuti, Julius; Nógrádi, Dániel; Wong, Chik Him.

In: Unknown Journal, Vol. 29-July-2013, 089, 2013.

Research output: Contribution to journalArticle

Fodor, Z, Holland, K, Kuti, J, Nógrádi, D & Wong, CH 2013, 'The chiral condensate from the Dirac spectrum in BSM gauge theories', Unknown Journal, vol. 29-July-2013, 089.
Fodor Z, Holland K, Kuti J, Nógrádi D, Wong CH. The chiral condensate from the Dirac spectrum in BSM gauge theories. Unknown Journal. 2013;29-July-2013. 089.
Fodor, Z. ; Holland, Kieran ; Kuti, Julius ; Nógrádi, Dániel ; Wong, Chik Him. / The chiral condensate from the Dirac spectrum in BSM gauge theories. In: Unknown Journal. 2013 ; Vol. 29-July-2013.
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