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arxiv: 1408.5863 · v1 · pith:A3ZELMOQnew · submitted 2014-08-25 · ❄️ cond-mat.stat-mech · hep-th· math-ph· math.MP

Two-loop Feynman integrals for φ⁴ theory with long-range correlated disorder

classification ❄️ cond-mat.stat-mech hep-thmath-phmath.MP
keywords integralscorrelateddisorderfeynmanlong-rangemassivetwo-loopanalytically
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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.

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