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arXiv · 0706.4132

Using the Renormalization Group Functions to Uniquely Determine the Effective Potential in Massless Scalar Electrodynamics

F. A. Chishtie·T. Hanif·D. G. C. McKeon
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Abstract

It has been demonstrated that the effective potential V(ϕ) in a massless O(N) λϕ^4_4 model is determined completely by the renormalization group functions provided the renormalization condition \frac{d^4V}{d ϕ^4}|_{ϕ=μ}=λis 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(ϕ) can be evaluated.

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F. A. Chishtie, T. Hanif, D. G. C. McKeon. 2008-03-12. Using the Renormalization Group Functions to Uniquely Determine the Effective Potential in Massless Scalar Electrodynamics. https://arxiv.org/abs/0706.4132

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