English

Spin Chains and Gustafson's Integrals

Mathematical Physics 2017-08-02 v2 High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.1611.09593,
  title  = {Spin Chains and Gustafson's Integrals},
  author = {S. E. Derkachov and A. N. Manashov},
  journal= {arXiv preprint arXiv:1611.09593},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T17:07:49.097Z