Published May 2008
| Version v1
Journal article
Hyperbolic Hubbard-Stratonovich transformation made rigorous
Creators
- 1. University of Nottingham, School of Mathematical Sciences, Nottingham NG7 2RD (United Kingdom)
- 2. Universitaet zu Koeln, Institut fuer Theoretische Physik, Zuelpicher Str. 77, 50937 Koeln (Germany)
Description
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 Schaefer 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
Additional details
Identifiers
- DOI
- 10.1063/1.2917066;
- arXiv
- arXiv:0801.4960v2;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 49
- Journal Issue
- 5
- Journal Page Range
- p. 053507-053507.18
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39110382
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ELECTRONS; EQUATIONS; INTEGRALS; NONLINEAR PROBLEMS; QUANTUM FIELD THEORY; SIGMA MODEL; SPIN; SYMMETRY; TRANSFORMATIONS
- Descriptors DEC
- ANGULAR MOMENTUM; BOSON-EXCHANGE MODELS; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; LEPTONS; MATHEMATICAL MODELS; PARTICLE MODELS; PARTICLE PROPERTIES; PERIPHERAL MODELS
Optional Information
- Notes
- (c) 2008 American Institute of Physics