Two-loop Feynman integrals for ϕ4 theory with long-range correlated disorder
Abstract
Two-loop massive Feynman integrals for ϕ4 field-theoretical model with long-range correlated disorder are considered. Massive integrals for the vertex function Γ(4) 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.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- January 2015
- DOI:
- 10.1063/1.4904453
- arXiv:
- arXiv:1408.5863
- Bibcode:
- 2015JMP....56a3302D
- Keywords:
-
- Condensed Matter - Statistical Mechanics;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 28 pages, submitted to Journal of Mathematical Physics