Instantons from Perturbation Theory

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.

arXiv comment4 pages, 1 figure; v2: minor corrections and improvements, ref. added

References in corpus (5)

• Complexified path integrals, exact saddles and supersymmetry
• Instantons in Quantum Mechanics and Resurgent Expansions
• Resumming the string perturbation series
• The Power of Perturbation Theory
• Higher-Order Corrections to Instantons

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