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 (US)|
|Journal||Proceedings of Science|
|State||Published - 2013|
|Event||31st International Symposium on Lattice Field Theory, LATTICE 2013 - Mainz, Germany|
Duration: Jul 29 2013 → Aug 3 2013
All Science Journal Classification (ASJC) codes