A remark on the Dunne-Unsal relation in exact semi-classics

Gahramanov, Ilmar; Tezgin, Kemal

doi:10.1103/PhysRevD.93.065037

Item

ITEM ACTIONSEXPORT

Add to Basket

Please note that a newer version of this item is available:
https://pure.mpg.de/pubman/item/item_2260609_4

DetailsSummary

Released

Journal Article

A remark on the Dunne-Unsal relation in exact semi-classics

MPS-Authors

/persons/resource/persons199591

Gahramanov, Ilmar
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

1512.08466.pdf
(Preprint), 224KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Gahramanov, I., & Tezgin, K. (2016). A remark on the Dunne-Unsal relation in exact semi-classics. Physical Review D, 93: 065037. doi:10.1103/PhysRevD.93.065037.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002A-12DC-2

Abstract

Recently, it is realized that non-perturbative instanton effects can be generated to all orders by perturbation theory around a degenerate minima via Dunne-Unsal relation in several quantum mechanical systems. In this work we verify the Dunne-Unsal relation for resonance energy levels of one-dimensional polynomial anharmonic oscillators. We show that the relation is applicable to cubic and quartic anharmonic oscillators which are genus one potentials. However for higher order (higher genus) anharmonic potentials the relation is not satisfied and is subject to a certain extension.