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

Marco Frasca

doi:10.1142/s0217751x07036282

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

Marco Frasca

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Abstract

We prove the existence of a strong coupling expansion for a classical $λϕ^4$ 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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Marco Frasca. 2006-10-15. Dual perturbation expansion for a classical $λϕ^4$ field theory. https://doi.org/10.1142/s0217751x07036282

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