2008/01/31 by Yan V. Fyodorov, Y. V. Fyodorov, Y. Wei +3
Chemistry · Mathematics · Physics and Astronomy · #Molecular spectroscopy and chirality #Physics of Superconductivity and Magnetism #Quantum chaos and dynamical systems #cond-mat.mes-hall #math-ph #math.MP
paper · pdf · doi:10.1063/1.2917066
published as J. Math. Phys. 49, 053507 (2008) · 21 pages, 2 figures
openalex publication_date 2008/05/01 · arxiv created 2008/05/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We revisit a long standing issue in the theory of disordered electron systems and their effective description by a nonlinear 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 noncompact orthogonal symmetry Op,q. There exists an old proposal by Pruisken and Schäfer how to perform the HS transformation in an Op,q-invariant way [Nucl. Phys. B. 200, 20 (1982)]. Giving a precise formulation of this proposal, we show that the HS integral is a sign-alternating sum of integrals over disjoint domains.