Generating nonperturbative physics from perturbation theory

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.

Note:

5 pages; 2 figures; published version in PRD

03.65.Sq
11.15.Kc
12.38.Cy
11.10.Jj
boundary condition
perturbation theory
asymptotic behavior
quantum mechanics
nonperturbative
WKB approximation

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