3 years ago

Instantons from Perturbation Theory.

Giovanni Villadoro, Marco Serone, Gabriele Spada

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.

Publisher URL: http://arxiv.org/abs/1612.04376

DOI: arXiv:1612.04376v2

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