Computation of the winding number diffusion rate due to the cosmological sphaleron

Details Computation of the winding number diffusion rate due to the cosmological sphaleron Computation of the winding number diffusion rate due to the cosmological sphaleron

1996-04-10

arxiv.org/abs/hep-th/9604054v2

Phys.Rev. D54 (1996) 5014-5030

Physics

High Energy Physics

High Energy Physics - Theory

Some style corrections suggested by the referee are introduced (mainly in Sec.II), one reference added. To appear in Phys.Rev.

Scientific paper

10.1103/PhysRevD.54.5014

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 $3+1$ spacetime dimensions.

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