2013/06/30 by Gerald V. Dunne, Mithat Unsal · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.89.041701
published as Phys. Rev. D 89, 041701(R) (2014) · 5 pages; 2 figures; published version in PRD
arxiv created 2014/04/03 · arxiv updated 2014/04/04
In a large variety of quantum mechanical systems, we show that the full non-perturbative expression for energy eigenvalues, containing all orders of perturbative, non-perturbative 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.