Computation of the winding number diffusion rate due to the cosmological sphaleron
High Energy Physics - Theory
2009-10-30 v2 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Abstract
A detailed quantitative analysis of the transition process mediated by a sphaleron type non-Abelian gauge field configuration in a static Einstein universe is carried out. By examining spectra of the fluctuation operators and applying the zeta function regularization scheme, a closed analytical expression for the transition rate at the one-loop level is derived. This is a unique example of an exact solution for a sphaleron model in spacetime dimensions.
Keywords
Cite
@article{arxiv.hep-th/9604054,
title = {Computation of the winding number diffusion rate due to the cosmological sphaleron},
author = {Mikhail S. Volkov},
journal= {arXiv preprint arXiv:hep-th/9604054},
year = {2009}
}
Comments
Some style corrections suggested by the referee are introduced (mainly in Sec.II), one reference added. To appear in Phys.Rev.D 29 pages, LaTeX, 3 Postscript figures, uses epsf.sty