Using the Renormalization Group Functions to Uniquely Determine the Effective Potential in Massless Scalar Electrodynamics
High Energy Physics - Theory
2008-03-12 v2
Abstract
It has been demonstrated that the effective potential V(\phi) in a massless O(N) \lambda \phi^4_4 model is determined completely by the renormalization group functions provided the renormalization condition \frac{d^4V}{d \phi^4}|_{\phi=\mu}=\lambda is used. This is shown to also hold in massless scalar electrodynamics. By employing a variant of the method of characteristics, the sums contributing to the leading-log, next-to-leading-log etc. contributions to V(\phi) can be evaluated.
Keywords
Cite
@article{arxiv.0706.4132,
title = {Using the Renormalization Group Functions to Uniquely Determine the Effective Potential in Massless Scalar Electrodynamics},
author = {F. A. Chishtie and T. Hanif and D. G. C. McKeon},
journal= {arXiv preprint arXiv:0706.4132},
year = {2008}
}