Two-loop Feynman integrals for $\phi^4$ theory with long-range correlated disorder
Statistical Mechanics
2015-04-01 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Two-loop massive Feynman integrals for field-theoretical model with long-range correlated disorder are considered. Massive integrals for the vertex function including two or three massless propagators for generic space dimension and for any value of the correlation parameter are evaluated analytically applying Mellin-Barnes method as well as familiar representation for one-loop integrals. Obtained expressions are presented in the form of hypergeometric functions.
Cite
@article{arxiv.1408.5863,
title = {Two-loop Feynman integrals for $\phi^4$ theory with long-range correlated disorder},
author = {M. Dudka},
journal= {arXiv preprint arXiv:1408.5863},
year = {2015}
}
Comments
28 pages, submitted to Journal of Mathematical Physics