Finite Temperature Effective Potential for the Abelian Higgs Model to the Order $e^4,{\lambda }^2$

Abstract

A complete calculation of the finite temperature effective potential for the abelian Higgs model to the order $e^4,{\lambda }^2$ is presented and the result is expressed in terms of physical parameters defined at zero temperature. The absence of a linear term is verified explicitly to the given order and proven to survive to all orders. The first order phase transition has weakened in comparison with lower order calculation, which shows up in a considerable decrease of the surface tension. The only difference from the original version is the splitting of some overlong lines causing problems with certain mailers.

13 pages LaTex ( figures not included , hardcopy available on request : [email protected] or t00heb@dhhdesy3 ) , DESY 93-086

References in corpus (4)

• The Effective Potential and First-Order Phase Transitions: Beyond Leading Order
• Towards the Theory of Cosmological Phase Transitions
• Resummation in a Hot Scalar Field Theory
• Phase Transition Temperatures at Next-to-Leading Order

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