Triangle UD integrals in the position space

Abstract

We investigate triangle UD ladder integrals in the position space. The investigation is necessary to find an all-order in loop solution for an auxiliary Lcc correlator in Wess-Zumino-Landau gauge of the maximally supersymmetric Yang-Mills theory and to present correlators of dressed mean gluons in terms of it in all loops. We show that triangle UD ladder diagrams in the position space can be expressed in terms of the same UD functions Phi^(L) in terms of which they were represented in the momentum space, for an arbitrary number of rungs.

9 pages, 2 figures, revised version, two references added, comments are included in the text just after Eq.(1) and Eq.(2), the last paragraph is modified, minor corrections, Eq.(6) is corrected, to appear in JHEP

Cited by in corpus (10)

• Glauber - Gribov approach for DIS on nuclei in N=4 SYM
• Exponential suppression with four legs and an infinity of loops
• Solution to Bethe-Salpeter equation via Mellin-Barnes transform
• New four-dimensional integrals by Mellin-Barnes transform
• Transformations of triangle ladder diagrams
• Phenomenology of two texture zero neutrino mass in left-right symmetric model with $Z_8\times Z_2$
• Belokurov-Usyukina loop reduction in non-integer dimension
• Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions
• Box ladders in non-integer dimension
• Multi-fold contour integrals of certain ratios of Euler gamma functions from Feynman diagrams: orthogonality of triangles