Work

Instantons from perturbation theory

Year: 2017

Type: article

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.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.96.021701

Authors: Marco Serone, Gabriele Spada, Giovanni Villadoro

Institutions: The Abdus Salam International Centre for Theoretical Physics (ICTP), Scuola Internazionale Superiore di Studi Avanzati, Istituto Nazionale di Fisica Nucleare, Sezione di Trieste

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: H2020 European Research Council

Award: G4161187506