English

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

High Energy Physics - Lattice 2016-08-31 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-lat/9501033,
  title  = {A Self Consistent Study of the Phase Transition in the Scalar Electroweak Theory at Finite Temperature},
  author = {U. Kerres and G. Mack and G. Palma},
  journal= {arXiv preprint arXiv:hep-lat/9501033},
  year   = {2016}
}

Comments

3 pages, LaTeX file, contribution to Lattice 94