### 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 language | English |
---|---|

Article number | 089 |

Journal | Unknown Journal |

Volume | 29-July-2013 |

Publication status | Published - 2013 |

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### ASJC Scopus subject areas

- General

### Cite this

*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.

Research output: Contribution to journal › Article

*Unknown Journal*, vol. 29-July-2013, 089.

}

TY - JOUR

T1 - The chiral condensate from the Dirac spectrum in BSM gauge theories

AU - Fodor, Z.

AU - Holland, Kieran

AU - Kuti, Julius

AU - Nógrádi, Dániel

AU - Wong, Chik Him

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84976314232&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84976314232&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84976314232

VL - 29-July-2013

JO - [No source information available]

JF - [No source information available]

SN - 0402-1215

M1 - 089

ER -