A non-perturbative approach to the Coleman- Weinberg mechanism in massless scalar QED

TL;DR

This paper presents a non-perturbative derivation of the Coleman-Weinberg effective potential in massless scalar QED, valid for all coupling strengths, avoiding Landau singularities and maintaining renormalization group invariance.

Contribution

It provides a non-perturbative, renormalization group invariant derivation of the Coleman-Weinberg potential applicable beyond weak coupling regimes.

Findings

Derivation valid for arbitrary coupling strengths.

No Landau ghost singularity in the non-perturbative approach.

Extension to finite temperature discussed.

Abstract

We rederive non-perturbatively the Coleman-Weinberg expression for the effective potential for massless scalar QED. Our result is not restricted to small values of the coupling constants. This shows that the Coleman- Weinberg result can be established beyond the range of validity of perturbation theory. Also, we derive it in a manifestly renormalization group invariant way. It is shown that with the derivation given no Landau ghost singularity arises. The finite temperature case is discussed. Pacs number: 11.10.Ef,11.10.Gh.