Dual perturbation expansion for a classical $\lambda\phi^4$ field theory
高能物理 - 理论
2010-10-27 v3 其他凝聚态物理
高能物理 - 唯象学
数学物理
math.MP
摘要
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.
引用
@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}
}
备注
7 pages, no figures. Version accepted for publication in International Journal of Modern Physics A