Published December 2016 | Version v1
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Gustafson integrals for SL(2,C) spin magnet

Creators

  • 1. Russian Academy of Sciences, St. Petersburg (Russian Federation). St. Petersburg Dept. of Steklov Mathematical Inst.
  • 2. Regensburg Univ. (Germany). Inst. fuer Theoretische Physik
  • 3. Hamburg Univ. (Germany). II. Inst. fuer Theoretische Physik

Description

It was observed recently that the multidimensional Mellin-Barnes integrals (Gustafson's integrals) arise naturally in studies of the SL(2,R) spin chain models. We extend this analysis to the noncompact SL(2,C) spin magnets and obtain integrals which generalize Gustafson's integrals to the complex case.

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Additional details

Publishing Information

Imprint Pagination
11 p.
ISSN
0418-9833
Report number
DESY--16-232

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
48057968
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CRYSTAL MODELS; EIGENFUNCTIONS; HILBERT SPACE; INTEGRALS; IRREDUCIBLE REPRESENTATIONS; MANY-DIMENSIONAL CALCULATIONS; PAULI SPIN OPERATORS; SL GROUPS; SPIN
Descriptors DEC
ANGULAR MOMENTUM; ANGULAR MOMENTUM OPERATORS; BANACH SPACE; FUNCTIONS; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTICLE PROPERTIES; QUANTUM OPERATORS; SPACE; SYMMETRY GROUPS