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

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

1999-05-04

arxiv.org/abs/hep-ph/9905224v1

Phys.Rev. D60 (1999) 105021

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, RevTeX with eps figures

Scientific paper

10.1103/PhysRevD.60.105021

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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