Non summable Borel $Φ^{4}$ theory in zero dimensions and the Generalized Borel Transform

Details Non summable Borel $Φ^{4}$ theory in zero dimensions and the Generalized Borel Transform Non summable Borel $Φ^{4}$ theory in zero dimensions and the Generalized Borel Transform

2004-02-25

arxiv.org/abs/hep-th/0402209v2

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 1 figure

Scientific paper

A new technique named Generalized Borel Transform (GBT) is applied to the generating functional of the $\Phi^{4}$ theory in zero dimensions with degenerate minima. The analytical solution of this function, obtained in the non perturbative regime, is compared with those estimations predicted by large order perturbation theory. It was established that the GBT is a very efficient technique to capture these contributions. On the other hand, renormalons associated to the resummation of those perturbative series were not found to be the genuine source of the non perturbative contributions of this model.

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