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

A. P. C. Malbouisson·F. S. Nogueira·N. F. Svaiter
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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.

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A. P. C. Malbouisson, F. S. Nogueira, N. F. Svaiter. 1995-08-21. A non-perturbative approach to the Coleman- Weinberg mechanism in massless scalar QED. https://doi.org/10.1142/s0217732396000758

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