Instantons in Large Order of the Perturbative Series

نویسنده

  • Hideaki Aoyama
چکیده

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 nonperturbative valley. ⋆ E-mail address: [email protected]

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تاریخ انتشار 1994