On Hubbard-Stratonovich Transformations over Hyperbolic Domains
Mathematical Physics
2009-11-10 v3 Mesoscale and Nanoscale Physics
High Energy Physics - Theory
math.MP
Abstract
We discuss and prove validity of the Hubbard-Stratonovich (HS) identities over hyperbolic domains which are used frequently in the 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 -model from the gauge-invariant Wegner orbital model avoiding the use of the HS transformations.
Keywords
Cite
@article{arxiv.math-ph/0409014,
title = {On Hubbard-Stratonovich Transformations over Hyperbolic Domains},
author = {Yan V. Fyodorov},
journal= {arXiv preprint arXiv:math-ph/0409014},
year = {2009}
}
Comments
More accurate proofs are given; a few misprints are corrected; a misleading reference and a footnote in the end of section 2.2 are removed