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arXiv · hep-th/9910002

Bifurcation of Periodic Instanton in Decay-Rate Transition

Hyun-Soo Min·Hungsoo Kim·D. K. Park·Soo-Young Lee·Sahng-Kyoon Yoo·Dal-Ho Yoon
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Abstract

We investigate a bifurcation of periodic instanton in Euclidean action-temperature diagram in quantum mechanical models. It is analytically shown that multiple zero modes of fluctuation operator should be arised at bifurcation points. This fact is used to derive a condition for the appearance of bifurcation points in action-temperature diagram. This condition enables one to compute the number of bifurcation points for a given quantum mechanical system and hence, to understand the whole behaviour of decay rate. It is explicitly shown that the previous criterion derived by nonlinear perturbation or negative-mode consideration is special limit of our case.

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Hyun-Soo Min, Hungsoo Kim, D. K. Park, Soo-Young Lee, Sahng-Kyoon Yoo, Dal-Ho Yoon. 1999-10-01. Bifurcation of Periodic Instanton in Decay-Rate Transition. https://doi.org/10.1016/s0370-2693(99)01268-x

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