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arXiv · hep-ph/9206227

On the phase transition in the scalar theory

J. R. Espinosa·M. Quirós·F. Zwirner
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Abstract

The basic tool for the study of the electroweak phase transition is $V_{eff} (ϕ,T)$, the one-loop finite-temperature effective potential, improved by all-loop resummations of the most important infrared contributions. In this paper we perform, as a first step towards a full analysis of the Standard Model case, a detailed study of the effective potential of the scalar theory. We show that subleading corrections to the self-energies lead to spurious terms, linear in the field-dependent mass $m(ϕ)$, in the daisy-improved effective potential. Consistency at subleading order requires the introduction of superdaisy diagrams, which prevent the appearance of linear terms. The resulting $V_{eff}(ϕ,T)$ for the scalar theory hints at a phase transition which is either second-order or very weakly first-order.

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J. R. Espinosa, M. Quirós, F. Zwirner. 1992-06-17. On the phase transition in the scalar theory. https://doi.org/10.1016/0370-2693(92)90129-r

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