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

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 per...

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Bibliographic Details
Published in:EPJ Web of conferences 2018-01, Vol.175, p.8027
Main Authors: Fodor, Zoltan, Holland, Kieran, Kuti, Julius, Nogradi, Daniel, Him Wong, Chik
Format: Article
Language:English
Subjects:
Computer simulation
Coupling
Gauge theory
Phenomenology
Symmetry
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Summary: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 g 2 = 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.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201817508027