Dual perturbation expansion for a classical $\lambda {\varphi }^4$ field theory

Abstract

We prove the existence of a strong coupling expansion for a classical $\lambda {\varphi }^4$ 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.

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

References in corpus (2)

• Strongly coupled quantum field theory
• Strong coupling expansion for general relativity

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