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

M. Dudka

doi:10.1063/1.4904453

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arXiv · 1408.5863

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

M. Dudka

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Abstract

Two-loop massive Feynman integrals for $ϕ^4$ 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.

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M. Dudka. 2014-08-25. Two-loop Feynman integrals for $ϕ^4$ theory with long-range correlated disorder. https://doi.org/10.1063/1.4904453

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