Valley Instanton versus Constrained Instanton

Details Valley Instanton versus Constrained Instanton Valley Instanton versus Constrained Instanton

1995-12-11

arxiv.org/abs/hep-th/9512064v3

Nucl.Phys. B466 (1996) 127-158

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, 8 eps figures, LaTeX, uses epsf.sty, citesort.sty and wrapfig2.sty. Minor modifications

Scientific paper

10.1016/0550-3213(96)00066-1

Based on the new valley equation, we propose the most plausible method for constructing instanton-like configurations in the theory where the presence of a mass scale prevents the existence of the classical solution with a finite radius. We call the resulting instanton-like configuration as valley instanton. The detail comparison between the valley instanton and the constrained instanton in $\phi^4$ theory and the gauge-Higgs system are carried out. For instanton-like configurations with large radii, there appear remarkable differences between them. These differences are essential in calculating the baryon number violating processes with multi bosons.

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