Exponential suppression with four legs and an infinity of loops
High Energy Physics - Theory
2010-12-13 v1 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
The L-loop 4-point ladder diagram of massless phi^3 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.
Keywords
Cite
@article{arxiv.1007.0237,
title = {Exponential suppression with four legs and an infinity of loops},
author = {David J. Broadhurst and Andrei I. Davydychev},
journal= {arXiv preprint arXiv:1007.0237},
year = {2010}
}
Comments
5 pages, 1 figure, presented at "Loops and Legs in Quantum Field Theory 2010", Woerlitz, Germany, April 2010