A conjecture on Hubbard-Stratonovich transformations for the Pruisken-Schäfer parameterisations of real hyperbolic domains

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dc.creatorWei, Y.
dc.creatorFyodorov, Y. V.
dc.date2007-03-01
dc.date2008-03-18
dc.date.accessioned2026-07-07T09:27:12Z
dc.date.available2026-07-07T09:27:12Z
dc.descriptionRigorous justification of the Hubbard-Stratonovich transformation for the Pruisken-Schäfer type of parameterisations of real hyperbolic O(m,n)-invariant domains remains a challenging problem. We show that a naive choice of the volume element invalidates the transformation, and put forward a conjecture about the correct form which ensures the desired structure. The conjecture is supported by complete analytic solution of the problem for groups O(1,1) and O(2,1), and by a method combining analytical calculations with a simple numerical evaluation of a two-dimensional integral in the case of the group O(2,2).
dc.descriptionPublished version
dc.identifierhttps://arxiv.org/abs/math-ph/0703001
dc.identifierhttp://arxiv.org/abs/math-ph/0703001
dc.identifierJ. Phys. A, Vol 40 (2007) 13587-13605
dc.identifierdoi:10.1088/1751-8113/40/45/007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157015
dc.subjectMathematical Physics
dc.titleA conjecture on Hubbard-Stratonovich transformations for the Pruisken-Schäfer parameterisations of real hyperbolic domains
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