Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-11-16
Int.J.Mod.Phys. A16 (2001) 57-82
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages, 15 eps-figures, revtex; improved presentation, results unchanged; to appear in Int.J.Mod.Phys.A
Scientific paper
In strong (quasi-)Abelian fields, even at the one-loop level of the coupling constant, quantum fluctuations of fermions induce an effective Lagrangian density whose imaginary (absorptive) part is purely nonperturbative and known to be responsible for the fermion-antifermion pair creation. On the other hand, the induced real (dispersive) part has perturbative and nonperturbative contributions. In the one-loop case, we argue how to separate the two contributions from each other for any strength of the field. We show numerically that the nonperturbative contributions are in general comparable with or larger than the induced perturbative ones. We arrive at qualitatively similar conclusions also for the induced energy density. Further, we investigate numerically the quasianalytic continuation of the perturbative results into the nonperturbative sector, by employing (modified) Borel-Pade. It turns out that in the case at hand, we have to integrate over renormalon singularities, but there is no renormalon ambiguity involved.
Cvetic Gorazd
Yu Ji--Young
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