A Self Consistent Study of the Phase Transition in the Scalar Electroweak Theory at Finite Temperature

Details A Self Consistent Study of the Phase Transition in the Scalar Electroweak Theory at Finite Temperature A Self Consistent Study of the Phase Transition in the Scalar Electroweak Theory at Finite Temperature

1995-01-25

arxiv.org/abs/hep-lat/9501033v1

Nucl.Phys.Proc.Suppl. 42 (1995) 584-586

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, LaTeX file, contribution to Lattice 94

Scientific paper

10.1016/0920-5632(95)00318-4

We propose the study of the phase transition in the scalar electroweak theory at finite temperature by a two - step method. It combines i) dimensional reduction to a 3-dimensional {\it lattice\/} theory via perturbative blockspin transformation, and ii) either further real space renormalization group transformations, or solution of gap equations, for the 3d lattice theory. A gap equation can be obtained by using the Peierls inequality to find the best quadratic approximation to the 3d action. % This method avoids the lack of self consistency of the usual treatments which do not separate infrared and UV-problems by introduction of a lattice cutoff. The effective 3d lattice action could also be used in computer simulations.

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