Spin Chains and Gustafson's Integrals

Abstract

Gustafson's integrals are multidimensional generalizations of the classical Mellin-Barnes integrals. We show that some of these integrals arise from relations between matrix elements in Sklyanin's representation of Separated Variables in spin chain models. We also present several new integrals.

20 pages, 6 figures, typos fixed and references added, published version

References in corpus (1)

• Quantum mechanics of null polygonal Wilson loops

Cited by in corpus (3)

• Integrability in heavy quark effective theory
• Fishnet four-point integrals: integrable representations and thermodynamic limits
• BC-type open $SL(2,\mathbb{C})$ spin chain