Chiral symmetry breaking in fundamental and sextet fermion representations of SU(3) color

Zoltán Fodor, Kieran Holland, Julius Kuti, Dániel Nógrádi, Chris Schroeder

Research output: Contribution to journalConference articlepeer-review


We report new results for lattice gauge theories with twelve fermion flavors in the fundamental representation and two fermion flavors in the two-index symmetric (sextet) representation of the SU(3) color gauge group. Both models are important in searching for a viable composite Higgs mechanism in the Beyond the Standard Model (BSM) paradigm. We subject both models to opposite hypotheses inside and outside of the conformal window. In the first hypothesis we test chiral symmetry breaking (χSB) with its Goldstone spectrum, Fπ, the χSB condensate, and several composite hadron states as the fermion mass is varied in a limited range with our best effort to control finite volume effects. Supporting results for χSB from the running coupling based on the force between static sources is also presented. In the second test for the alternate hypothesis we probe conformal behavior driven by a single anomalous mass dimension under the assumption of unbroken chiral symmetry. Our results show very low level of confidence in the conformal scenario.

Original languageEnglish (US)
JournalProceedings of Science
StatePublished - 2010
Event28th International Symposium on Lattice Field Theory, Lattice 2010 - Villasimius, Sardinia, Italy
Duration: Jun 14 2010Jun 19 2010

All Science Journal Classification (ASJC) codes

  • General


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