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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.

URL: http://arxiv.org/PS_cache/arxiv/pdf/1007/1007.0237...
DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1016/j.nuclphysbps.2010.09.014
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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.

Item Type: Journal Article
Copyright Holders: 2010 Elsevier B. V.
ISSN: 0920-5632
Extra Information: Full text of the Accepted Manuscript available at arXiv via the above URL.
Academic Unit/Department: Science > Physical Sciences
Item ID: 24728
Depositing User: Colin Smith
Date Deposited: 18 Nov 2010 09:07
Last Modified: 23 Oct 2012 14:30
URI: http://oro.open.ac.uk/id/eprint/24728
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