Dual perturbation expansion for a classical $λφ^4$ field theory

Details Dual perturbation expansion for a classical $λφ^4$ field theory Dual perturbation expansion for a classical $λφ^4$ field theory

2005-09-15

arxiv.org/abs/hep-th/0509125v3

Int.J.Mod.Phys.A22:1441-1450,2007

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, no figures. Version accepted for publication in International Journal of Modern Physics A

Scientific paper

10.1142/S0217751X07036282

We prove the existence of a strong coupling expansion for a classical $\lambda\phi^4$ field theory in agreement with the duality principle in perturbation theory put forward in [M.Frasca, Phys. Rev. A 58, 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.

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