Gauge Invariant Variables for Spontaneously Broken SU(2) Gauge Theory in the Spherical Ansatz

Details Gauge Invariant Variables for Spontaneously Broken SU(2) Gauge Theory in the Spherical Ansatz Gauge Invariant Variables for Spontaneously Broken SU(2) Gauge Theory in the Spherical Ansatz

1995-03-08

arxiv.org/abs/hep-ph/9503268v2

Phys.Rev.D52:2394-2401,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

latex, 19 pages, no figures (minor changes to text; reference added)

Scientific paper

10.1103/PhysRevD.52.2394

We describe classical solutions to the Minkowski space equations of motion of SU(2) gauge theory coupled to a Higgs field in the spatial spherical ansatz. We show how to reduce the equations to four equations for four gauge invariant degrees of freedom which correspond to the massive gauge bosons and the Higgs particle. The solutions typically dissipate at very early and late times. To describe the solutions at early and late times, we linearize and decouple the equations of motion, all the while working only with gauge invariant variables. We express the change in Higgs winding of a solution in terms of gauge invariant variables.

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