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Spin chains and Gustafson’s integrals

Derkachov, S É and Manashov, A N (2017) Spin chains and Gustafson’s integrals. Journal of Physics A: Mathematical and Theoretical 50 (29), p. 294006.

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Other URL: http://doi.org/10.1088/1751-8121/aa749a


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.


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Item type:Article
Date:2017
Institutions:Physics > Institute of Theroretical Physics
Identification Number:
ValueType
10.1088/1751-8121/aa749aDOI
Keywords:MELLIN-BARNES INTEGRALS; Q-BETA; BAXTER EQUATION; TODA CHAIN; Q-OPERATOR; SEPARATION; VARIABLES; WILSON; Gustafson integrals; spin chains; Yang-Baxter equation
Dewey Decimal Classification:500 Science > 530 Physics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:39355
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