Dual perturbation expansion for a classical $\lambda\phi^4$ field theory
High Energy Physics - Theory
2010-10-27 v3 Other Condensed Matter
High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
We prove the existence of a strong coupling expansion for a classical 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.
Keywords
Cite
@article{arxiv.hep-th/0509125,
title = {Dual perturbation expansion for a classical $\lambda\phi^4$ field theory},
author = {Marco Frasca},
journal= {arXiv preprint arXiv:hep-th/0509125},
year = {2010}
}
Comments
7 pages, no figures. Version accepted for publication in International Journal of Modern Physics A