Exponential suppression with four legs and an infinity of loops

Broadhurst, David J. and Davydychev, Andrei I. (2010). Exponential suppression with four legs and an infinity of loops. Nuclear Physics B - Proceedings Supplements, 205-206, pp. 326–330.

DOI: https://doi.org/10.1016/j.nuclphysbps.2010.09.014

URL: http://arxiv.org/PS_cache/arxiv/pdf/1007/1007.0237...

Abstract

The L-loop 4-point ladder diagram of massless φ³ theory is finite when all 4 legs are off-shell and is given in terms of polylogarithms with orders ranging from L to 2L. We obtain the exact solution of the linear Dyson-Schwinger equation that sums these ladder diagrams and show that this sum vanishes exponentially fast at strong coupling.

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