A Hierarchy of Effective Field Theories of Hot Electroweak Matter

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 ${\varphi }_{\alpha }$. 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 ${\varphi }_{\alpha }$, 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

Comments: 15 pages, HU-TFT-94-01