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Generating nonperturbative physics from perturbation theory

Gerald V. Dunne1 and Mithat Ünsal2

  • 1Physics Department, University of Connecticut, Storrs, Connecticut 06269, USA
  • 2Department of Physics and Astronomy, SFSU, San Francisco, California 94132, USA

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Phys. Rev. D 89, 041701(R) – Published 25 February, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.041701

Abstract

In a large variety of quantum mechanical systems, we show that the full nonperturbative expression for energy eigenvalues, containing all orders of perturbative, nonperturbative, and quasi-zero-mode terms, may be generated directly from the perturbative expansion about the perturbative vacuum, combined with a single global boundary condition. This provides a dramatic realization of the principle of “resurgence,” that the fluctuations about different semiclassical saddle points are related to one another in a precise quantitative manner. The analysis of quantum mechanics also generalizes to certain calculable regimes of quantum field theory.

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Phys. Rev. D 89, 041701(R)– Published 25 February, 2014
  • Received 19 June 2013

© 2014 American Physical Society

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