Two-loop Feynman integrals for $\phi^4$ theory with long-range correlated disorder

Autor: Dudka, M.
Rok vydání: 2014
Předmět:
Zdroj: J. Math. Phys. 56, 013302 (2015)
Druh dokumentu: Working Paper
DOI: 10.1063/1.4904453
Popis: Two-loop massive Feynman integrals for $\phi^4$ field-theoretical model with long-range correlated disorder are considered. Massive integrals for the vertex function $\Gamma^{(4)}$ 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.
Comment: 28 pages, submitted to Journal of Mathematical Physics
Databáze: arXiv