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Nonlinear Perturbation Theory

Stephanie Rossano·Christian Brouder
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Abstract

An explicit perturbative solution to all orders is given for a general class of nonlinear differential equations. This solution is written as a sum indexed by rooted trees and uses the Green function of a linearization of the equations. The modifications due to the presence of zero-modes is considered. Possible divergence of the integrals can be avoided by using approximate Green functions.

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Stephanie Rossano, Christian Brouder. 2000-02-09. Nonlinear Perturbation Theory. https://arxiv.org/abs/nlin/0002012

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