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

A detailed quantitative analysis of the transition process mediated by a sphaleron type non-Abelian gauge field configuration in curved spacetime 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.

11.15.Kc
04.62.+v
11.10.Wx
98.80.Cq
gauge field theory: Yang-Mills
space-time
field equations: sphaleron
partition function
energy
fluctuation

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Figures(0)

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