On the phase transition in the scalar theory
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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.
10 A4 pages, table and figures not included and available (by ordinary mail) upon request, plain LATEX, CERN-TH.6451/92, IEM-FT-56/92
10 A4 pages, table and figures not included and available (by ordinary mail) upon request, plain LATEX, CERN-TH.6451/92, IEM-FT-56/92