Physics – Mathematical Physics
Scientific paper
2008-01-31
J. Math. Phys. 49, 053507 (2008)
Physics
Mathematical Physics
21 pages, 2 figures
Scientific paper
10.1063/1.2917066
We revisit a long standing issue in the theory of disordered electron systems and their effective description by a non-linear sigma model: the hyperbolic Hubbard-Stratonovich (HS) transformation in the bosonic sector. For time-reversal invariant systems without spin this sector is known to have a non-compact orthogonal symmetry O(p,q). There exists an old proposal by Pruisken and Schaefer how to do the HS transformation in an O(p,q) invariant way. Giving a precise formulation of this proposal, we show that the HS integral is a sign-alternating sum of integrals over disjoint domains.
Fyodorov Yan V.
Wei Yi
Zirnbauer Martin R.
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