FLUCTUATIONS OF CHERN-SIMONS NUMBERS IN THE SU(2) HIGGS-MODEL

Citation
F. Karsch et al., FLUCTUATIONS OF CHERN-SIMONS NUMBERS IN THE SU(2) HIGGS-MODEL, International journal of modern physics C, 4(6), 1993, pp. 1195-1204
Citations number
28
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
ISSN journal
01291831
Volume
4
Issue
6
Year of publication
1993
Pages
1195 - 1204
Database
ISI
SICI code
0129-1831(1993)4:6<1195:FOCNIT>2.0.ZU;2-U
Abstract
We investigate vacuum transitions in lattice higgs models at finite te mperature. The 2 dimensional U(1) Higgs model is used as a toy model. In the 4 dimensional SU(2) Higgs model the region of the phase transit ion and temperatures above it are considered. The couplings (beta, kap pa, lambda) = (2.25, 0.27, 0.5) and (8.0, 0.12996, 0.0017235) correspo nd to masses in lattice units (a(sigma) m(H), a(sigma) m(W)) of (0.02, 0.05) and (0.2, 0.2), respectively. The algorithm is described and a parallelized version is proposed. Taking the influence of the finite l attice into account we discuss temperature effects. We compare our res ults with perturbative estimates and claim that they link low and high temperature approximations.