A new method for the beta function in the chiral symmetry broken phase

Zoltan Fodor, Kieran Holland, Julius Kuti, Daniel Nogradi, Chik Him Wong

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12 Scopus citations


We describe a new method to determine non-perturbatively the beta function of a gauge theory using lattice simulations in the p-regime of the theory. This complements alternative measurements of the beta function working directly at zero fermion mass and bridges the gap between the weak coupling perturbative regime and the strong coupling regime relevant to the mass spectrum of the theory. We apply this method to SU(3) gauge theory with two fermion flavors in the 2-index symmetric (sextet) representation. We find that the beta function is small but non-zero at the renormalized coupling value g2 = 6.7, consistent with our previous independent investigation using simulations directly at zero fermion mass. The model continues to be a very interesting explicit realization of the near-conformal composite Higgs paradigm which could be relevant for Beyond Standard Model phenomenology.

Original languageEnglish (US)
Article number08027
JournalEPJ Web of Conferences
StatePublished - Mar 26 2018
Event35th International Symposium on Lattice Field Theory, Lattice 2017 - Granada, Spain
Duration: Jun 18 2017Jun 24 2017

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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