The Effectve Potential in Massless Theories
High Energy Physics - Theory
2017-12-13 v1
Abstract
The effective potential V in a massless self-coupled scalar theory and massless scalar electrodynamics is considered. Both the MS and Coleman-Weinberg renormalization schemes are examined. The renormalization scheme dependence of V is determined. Upon summing all of the logarithmic contributions to V, it is shown that the implicit and explicit dependence on the renormalization scale {\mu} cancels. In addition, if there is spontaneous symmetry breaking, then the dependence on the background field {\Phi} cancels, leaving V flat but with non-perturbative contributions. The quartic scalar coupling in the Coleman-Weinberg renormalization scheme consequently vanishes.
Cite
@article{arxiv.1709.05574,
title = {The Effectve Potential in Massless Theories},
author = {D. G. C. McKeon},
journal= {arXiv preprint arXiv:1709.05574},
year = {2017}
}