文档介绍：arXiv:hep-ph/0009136 v1 11 Sep 2000
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Contents
1 Introduction 2
Motivation and overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
WKB reminder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
2 Instantons in quantum mechanics 4
SCA via path integrals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
The propagator for real times: path integral and SCA . . . . . . . . . . . . . . . . . . 4
Propagator in imaginary time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Path integral in imaginary time: tunneling in SCA . . . . . . . . . . . . . . . . . . . . 7
Saddle point approximation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Double well (hill) potential and instantons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Instanton solution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Z