On Hubbard Stratonovich transformations over hyperbolic domains
Abstract
We discuss and prove the validity of the Hubbard-Stratonovich (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 σ-model from the gauge-invariant Wegner k-orbital model avoiding the use of the HS transformations.
- Publication:
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Journal of Physics Condensed Matter
- Pub Date:
- May 2005
- DOI:
- 10.1088/0953-8984/17/20/018
- arXiv:
- arXiv:math-ph/0409014
- Bibcode:
- 2005JPCM...17S1915F
- Keywords:
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- Mathematical Physics;
- Condensed Matter - Mesoscopic Systems and Quantum Hall Effect;
- High Energy Physics - Theory;
- Mathematics - Mathematical Physics
- E-Print:
- More accurate proofs are given