Scalar mass stability bound in a simple Yukawa-theory from renormalisation group equations
High Energy Physics - Theory
2016-12-15 v3 High Energy Physics - Phenomenology
Abstract
Functional Renormalisation Group (FRG) equations are constructed for a simple Yukawa-model with discrete chiral symmetry, including also the effect of a nonzero composite fermion background beyond the conventional scalar condensate. The evolution of the effective potential of the model, generically depending on two invariants, is explored with help of power series expansions. Systematic investigation of the effect of a class of irrelevant operators on the lower (stability) bound allows a non-perturbative extension of the maximal cut-off value consistent with any given mass of the scalar field.
Keywords
Cite
@article{arxiv.1508.06774,
title = {Scalar mass stability bound in a simple Yukawa-theory from renormalisation group equations},
author = {A. Jakovac and I. Kaposvari and A. Patkos},
journal= {arXiv preprint arXiv:1508.06774},
year = {2016}
}
Comments
16 pages, 7 figures, lower mass bound derived with significantly extended operator set in FRGE's, version matching the article to appear in MPLA