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arXiv · hep-ph/9807524

Periodic Euclidean Solutions of SU(2)-Higgs Theory

Keith L. Frost·Laurence G. Yaffe
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Abstract

We examine periodic, spherically symmetric, classical solutions of SU(2)-Higgs theory in four-dimensional Euclidean space. Classical perturbation theory is used to construct periodic time-dependent solutions in the neighborhood of the static sphaleron. The behavior of the action, as a function of period, changes character depending on the value of the Higgs mass. The required pattern of bifurcations of solutions as a function of Higgs mass is examined, and implications for the temperature dependence of the baryon number violation rate in the Standard Model are discussed.

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Keith L. Frost, Laurence G. Yaffe. 1998-12-04. Periodic Euclidean Solutions of SU(2)-Higgs Theory. https://doi.org/10.1103/physrevd.59.065013

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