TY - JOUR

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

AU - Fodor, Zoltán

AU - Holland, Kieran

AU - Kuti, Julius

AU - Nógrádi, Dániel

AU - Wong, Chik Him

N1 - Funding Information:
We acknowledge support by the DOE under grant DE-SC0009919, by the NSF under grants 0704171 and 0970137, by the EU Framework Programme 7 grant (FP7/2007-2013)/ERC No 208740, by OTKA under the grant OTKA-NF-104034, and by the Deutsche Forschungsgemeinschaft grant SFB-TR 55. Computational resources were provided by USQCD at Fermilab and JLab, at the UCSD GPU cluster funded by DOE ARRA Award ER40546, by the NSF grant OCI-1053575 at the Extreme Science and Engineering Discovery Environment (XSEDE), and at the University of Wuppertal. Simulations on GPU clusters were facilitated by the CUDA ports of [17]. KH wishes to thank the Institute for Theoretical Physics and the Albert Einstein Center for Fundamental Physics at Bern University for their support.

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.

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M3 - Conference article

AN - SCOPUS:84976314232

SN - 1824-8039

VL - 29-July-2013

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 089

T2 - 31st International Symposium on Lattice Field Theory, LATTICE 2013

Y2 - 29 July 2013 through 3 August 2013

ER -