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A Hierarchy of Effective Field Theories of Hot Electroweak Matter

A. Jakovác·K. Kajantie·A. Patkós
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Abstract

Abst\-ract: A hierarchy of effective three-dimensional theories of finite temperature electroweak matter is studied. First an integration over non-static modes leads to an effective theory containing a gauge field $A_{i}^{a}$, an adjoint Higgs field $A_{0}^a$ and the fundamental Higgs field $ϕ_α$. We carry out the integration in the 1-loop approximation, study renormalisation effects and estimate quantitatively those terms of the effective action which are suppressed by inverse powers of the temperature. Secondly, because of the existence of well-separated thermal mass scales, $A_{0}^a$ can be integrated over, and finally also $ϕ_α$, leaving an effective theory of the $A_{i}^{a}$.In the analysis of the subsequent models particular attention is paid to the screening of the magnetic fluctuations due to the integrated-out degrees of freedom. Files of 2 Tables and 4 Figures are available in (la)tex-format upon request

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A. Jakovác, K. Kajantie, A. Patkós. 1993-12-30. A Hierarchy of Effective Field Theories of Hot Electroweak Matter. https://doi.org/10.1103/physrevd.49.6810

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