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DUAL PERTURBATION EXPANSION FOR A CLASSICAL λϕ⁴ FIELD THEORY

MARCO FRASCA

Via Erasmo Gattamelata, 3, 00176 Roma, Italy

https://doi.org/10.1142/S0217751X07036282Cited by:9 (Source: Crossref)

Abstract

We prove the existence of a strong coupling expansion for a classical λϕ⁴ field theory in agreement with the duality principle in perturbation theory put forward in a paper: M. Frasca, Phys. Rev. A58, 3439 (1998). The leading order solution is a snoidal wave taking the place of plane waves of the free theory. We compute the first-order correction and show that higher-order terms do renormalize the leading order solution.

Keywords:

PACS: 11.10.z, 11.15.Me, 11.10.Jj

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