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arXiv · hep-ph/9905224

From Instantons to Sphalerons: Time-Dependent Periodic Solutions of SU(2)-Higgs Theory

Keith L. Frost·Laurence G. Yaffe
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Abstract

We solve numerically for periodic, spherically symmetric, classical solutions of SU(2)-Higgs theory in four-dimensional Euclidean space. In the limit of short periods the solutions approach tiny instanton-anti-instanton superpositions while, for longer periods, the solutions merge with the static sphaleron. A previously predicted bifurcation point, where two branches of periodic solutions meet, appears for Higgs boson masses larger than $3.091 M_W$.

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Keith L. Frost, Laurence G. Yaffe. 1999-05-04. From Instantons to Sphalerons: Time-Dependent Periodic Solutions of SU(2)-Higgs Theory. https://doi.org/10.1103/physrevd.60.105021

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