Research PapersNo Access

GREEN FUNCTIONS AND NONLINEAR SYSTEMS: SHORT TIME EXPANSION

MARCO FRASCA

Via Erasmo Gattamelata, 3, 00176 Roma, Italy

https://doi.org/10.1142/S0217751X08038160Cited by:18 (Source: Crossref)

Abstract

We show that Green function methods can be straightforwardly applied to nonlinear equations appearing as the leading order of a short time expansion. Higher-order corrections can be then computed giving a satisfactory agreement with numerical results. The relevance of these results relies on the possibility of fully exploiting a gradient expansion in both classical and quantum field theory granting the existence of a strong coupling expansion. Having a Green function in this regime in quantum field theory amounts to obtain the corresponding spectrum of the theory.

Keywords:

PACS: 11.15.Me, 02.60.Lj

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