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

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 $3.091M_W$.

14 pages, RevTeX with eps figures

References in corpus (2)

• Periodic Instanton Bifurcations and Thermal Transition Rate
• Periodic Euclidean Solutions of SU(2)-Higgs Theory

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