Character expansion method for supergroups and extended superversions of the Leutwyler-Smilga and Berezin-Karpelevich integrals

Lehner, C. and Wettig, T. and Guhr, T. and Wei, Y. (2008) Character expansion method for supergroups and extended superversions of the Leutwyler-Smilga and Berezin-Karpelevich integrals. JOURNAL OF MATHEMATICAL PHYSICS, 49 (6): 063510. ISSN 0022-2488, 1089-7658

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Abstract

We introduce an extension of the character expansion method to the case of supergroups. This method allows us to calculate a superversion of the Leutwyler-Smilga integral which, to the best of our knowledge, has not been calculated before. We also use the method to generalize a previously calculated superversion of the Berezin-Karpelevich integral. Our character expansion method should also allow for the calculation of other supergroup integrals. (c) 2008 American Institute of Physics.

Item Type: Article
Uncontrolled Keywords: RECURSIVE CONSTRUCTION; RADIAL FUNCTIONS; CHIRAL-SYMMETRY; DIRAC OPERATOR; QCD; REPRESENTATIONS; SUPERSYMMETRY; FORMULAS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 29 Oct 2020 12:37
Last Modified: 29 Oct 2020 12:37
URI: https://pred.uni-regensburg.de/id/eprint/30825

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