Periodic Euclidean Solutions of SU(2)-Higgs Theory
High Energy Physics - Phenomenology
2010-11-19 v3
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.
Cite
@article{arxiv.hep-ph/9807524,
title = {Periodic Euclidean Solutions of SU(2)-Higgs Theory},
author = {Keith L. Frost and Laurence G. Yaffe},
journal= {arXiv preprint arXiv:hep-ph/9807524},
year = {2010}
}
Comments
Results in Figure 6, and following discussion, corrected. References added. Results recently confirmed by direct calculation