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Instantons from Perturbation Theory - MaRDI portal

Instantons from Perturbation Theory

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Publication:6280808

DOI10.1103/PHYSREVD.96.021701arXiv1612.04376MaRDI QIDQ6280808

Gabriele Spada, Giovanni Villadoro, Marco Serone

Publication date: 13 December 2016

Abstract: In quantum mechanics and quantum field theory perturbation theory generically requires the inclusion of extra contributions non-perturbative in the coupling, such as instantons, to reproduce exact results. We show how full non-perturbative 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 non-perturbative effects, such as the (supersymmetric) double-well potential, the pure anharmonic oscillator, and the perturbative expansion around a false vacuum.











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