ALGEBRAIC-SOLUTIONS OF YANG-MILLS-HIGGS EQUATIONS

Citation
Y. Brihaye et al., ALGEBRAIC-SOLUTIONS OF YANG-MILLS-HIGGS EQUATIONS, Modern physics letters A, 10(11), 1995, pp. 925-930
Citations number
9
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
ISSN journal
02177323
Volume
10
Issue
11
Year of publication
1995
Pages
925 - 930
Database
ISI
SICI code
0217-7323(1995)10:11<925:AOYE>2.0.ZU;2-L
Abstract
We study the SU(2) Yang-Mills-Higgs equations with the Higgs field in an arbitrary irreducible representation of the gauge group. We propose an ansatz for the classical fields which, solving the classical equat ions, leads to systems of coupled differential equations. Several regu lar solutions of these systems can be constructed explicitly; they are spatially homogeneous and periodic in time. The connection between ou r solutions and a recent numerical analysis of sphaleron (monopole)'s evolution is discussed.