On Hubbard Stratonovich transformations over hyperbolic domains
Abstract
We discuss and prove the validity of the HubbardStratonovich (HS) identities over hyperbolic domains which are used frequently in studies on disordered systems and random matrices. We also introduce a counterpart of the HS identity arising in disordered systems with 'chiral' symmetry. Apart from this we outline a way of deriving the nonlinear σmodel from the gaugeinvariant Wegner korbital model avoiding the use of the HS transformations.
 Publication:

Journal of Physics Condensed Matter
 Pub Date:
 May 2005
 DOI:
 10.1088/09538984/17/20/018
 arXiv:
 arXiv:mathph/0409014
 Bibcode:
 2005JPCM...17S1915F
 Keywords:

 Mathematical Physics;
 Condensed Matter  Mesoscopic Systems and Quantum Hall Effect;
 High Energy Physics  Theory;
 Mathematics  Mathematical Physics
 EPrint:
 More accurate proofs are given