Existence of a New Instanton in Constrained Yang-Mills-Higgs Theory

Details Existence of a New Instanton in Constrained Yang-Mills-Higgs Theory Existence of a New Instanton in Constrained Yang-Mills-Higgs Theory

1993-06-02

arxiv.org/abs/hep-ph/9306208v1

Nucl.Phys. B407 (1993) 88-114

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages, Latex, NIKHEF-H/93-02 (March 1993), postscript file including 10 figures available by anonymous ftp from nikhefh.nik

Scientific paper

10.1016/0550-3213(93)90275-T

Our goal is to discover possible new 4-dimensional euclidean solutions (instantons) in fundamental SU(2) Yang-Mills-Higgs theory, with a constraint added to prevent collapse of the scale. We show that, most likely, there exists one particular new constrained instanton (\Istar) with vanishing Pontryagin index. This is based on a topological argument that involves the construction of a non-contractible loop of 4-dimensional configurations with a certain upperbound on the action, which we establish numerically. We expect \Istar to be the lowest action non-trivial solution in the vacuum sector of the theory. There also exists a related static, but unstable, solution, the new sphaleron \Sstar. Possible applications of \Istar to the electroweak interactions include the asymptotics of perturbation theory and the high-energy behaviour of the total cross-section.

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