Instanton molecular vacuum in N = 1 supersymmetric quantum mechanics

I. I. Balitsky, A. V. Yung

Research output: Contribution to journalArticlepeer-review

52 Scopus citations


The vacuum of N = 1 quantum mechanics is shown to be the dilute gas of instanton-anti-instanton molecules with zero topological charge. The quantum fluctuations near these molecules are nontrivial due to the quasizero mode. The special technique of integration along this mode in the functional space beyond the gaussian approximation is worked out. We also discuss nonsupersymmetric quantum mechanics with fermions and calculate the nonperturbative part of the corresponding vacuum energy.

Original languageEnglish (US)
Pages (from-to)475-508
Number of pages34
JournalNuclear Physics, Section B
Issue number2
StatePublished - Sep 15 1986

Bibliographical note

Copyright 2014 Elsevier B.V., All rights reserved.


Dive into the research topics of 'Instanton molecular vacuum in N = 1 supersymmetric quantum mechanics'. Together they form a unique fingerprint.

Cite this