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arXiv · hep-th/9512064

Valley Instanton versus Constrained Instanton

Hideaki Aoyama·Toshiyuki Harano·Masatoshi Sato·Shinya Wada
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Abstract

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 $ϕ^4$ 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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Hideaki Aoyama, Toshiyuki Harano, Masatoshi Sato, Shinya Wada. 1995-12-14. Valley Instanton versus Constrained Instanton. https://doi.org/10.1016/0550-3213(96)00066-1

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