Periodic Euclidean Solutions of SU(2)-Higgs Theory

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.

Results in Figure 6, and following discussion, corrected. References added. Results recently confirmed by direct calculation

References in corpus (1)

• Periodic Instanton Bifurcations and Thermal Transition Rate

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