In quantum mechanics and quantum field theory perturbation theory generically requires the inclusion of extra contributions nonperturbative in the coupling, such as instantons, to reproduce exact results. We show how full nonperturbative results can be encoded in a suitable modified perturbative series in a class of quantum mechanical problems. We illustrate this explicitly in examples which are known to contain nonperturbative effects, such as the (supersymmetric) double-well potential, the pure anharmonic oscillator, and the perturbative expansion around a false vacuum.

Instantons from perturbation theory / Serone, Marco; Spada, Gabriele; Villadoro, Giovanni. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 96:2(2017), pp. 1-5. [10.1103/PhysRevD.96.021701]

Instantons from perturbation theory

Serone, Marco;Spada, Gabriele;Villadoro, Giovanni
2017

Abstract

In quantum mechanics and quantum field theory perturbation theory generically requires the inclusion of extra contributions nonperturbative in the coupling, such as instantons, to reproduce exact results. We show how full nonperturbative results can be encoded in a suitable modified perturbative series in a class of quantum mechanical problems. We illustrate this explicitly in examples which are known to contain nonperturbative effects, such as the (supersymmetric) double-well potential, the pure anharmonic oscillator, and the perturbative expansion around a false vacuum.
96
2
1
5
021701
http://harvest.aps.org/bagit/articles/10.1103/PhysRevD.96.021701/apsxml
https://arxiv.org/abs/1612.04376
Serone, Marco; Spada, Gabriele; Villadoro, Giovanni
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/59022
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