### Abstract

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 language | English (US) |
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Pages (from-to) | 475-508 |

Number of pages | 34 |

Journal | Nuclear Physics, Section B |

Volume | 274 |

Issue number | 2 |

DOIs | |

State | Published - Sep 15 1986 |

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## Cite this

Balitsky, I. I., & Yung, A. V. (1986). Instanton molecular vacuum in N = 1 supersymmetric quantum mechanics.

*Nuclear Physics, Section B*,*274*(2), 475-508. https://doi.org/10.1016/0550-3213(86)90295-6