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

Abstract

Two-loop massive Feynman integrals for ${\varphi }^4$ 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.

28 pages, submitted to Journal of Mathematical Physics

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Cited by in corpus (1)

• Random-mass disorder in the critical Gross-Neveu-Yukawa models