Controlling a Non-Polynomial Reduced Finite Temperature Action in the U(1) Higgs Model

Abstract

An effective theory is constructed for the scalar electrodynamics via 2-loop integration over all non-static fields and the screened electric component of the vector-potential. Non-polynomial terms of the action are preserved and included into the 2-loop calculation of the effective potential of the reduced theory. Also the inclusion of some non-local terms is shown to be important. The effect of non-polynomial operators on the symmetry restoring phase transition is quantitatively compared to results from a local, superrenormalisable approximate effective theory.

12 pages, LaTeX, 1 figure appended

References in corpus (1)

• The Electroweak Phase Transition

Cited by in corpus (6)

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• Comparison of 4d and 3d Lattice Results for the Electroweak Phase Transition
• Perturbative and non-perturbative studies of the SU(2)-Higgs model on lattices with asymmetric lattice spacings
• The order of the phase transition in 3d U(1)+Higgs theory