Instantons in Large Order of the Perturbative Series

Details Instantons in Large Order of the Perturbative Series Instantons in Large Order of the Perturbative Series

1994-03-18

arxiv.org/abs/hep-th/9403106v1

Phys.Lett.B329:285-288,1994

Physics

High Energy Physics

High Energy Physics - Theory

9 pages (without figures), KUCP-66

Scientific paper

10.1016/0370-2693(94)90773-0

Behavior of the Euclidean path integral at large orders of the perturbation series is studied. When the model allows tunneling, the path-integral functional in the zero instanton sector is known to be dominated by bounce-like configurations at large order of the perturbative series, which causes non-convergence of the series. We find that in addition to this bounce the perturbative functional has a subleading peak at the instanton and anti-instanton pair, and its sum reproduces the non-perturbative valley.

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