Published April 1998
| Version v1
Journal article
Random-matrix universality in the small-eigenvalue spectrum of the lattice Dirac operator
Creators
- 1. Kaiserslautern Univ. (Germany). Fachbereich Physik
- 2. Niels-Bohr-Institute, Blegdamsvej 17, 2100 Copenhagen Oe (Denmark)
- 3. Institut fuer Theoretische Physik, Universitaet Regensburg, 93040 Regensburg (Germany)
- 4. Department of Physics, State University of New York, Stony Brook, NY 11794 (United States)
- 5. Institut fuer Theoretische Physik, Technische Universitaet Muenchen, 85747 Garching (Germany)
Description
We analyze complete spectra of the lattice Dirac operator in SU(2) gauge theory and demonstrate that the distribution of low-lying eigenvalues is described by random matrix theory. We present possible practical applications of this random-matrix universality. In particular, reliable extrapolations of lattice gauge data to the thermodynamic limit are discussed. (orig.)
Additional details
Publishing Information
- Journal Title
- Nuclear Physics. B, Proceedings Supplements
- Journal Volume
- 63
- Journal Page Range
- p. 820-822.
- ISSN
- 0920-5632
- CODEN
- NPBSE7
Conference
- Title
- 15. international symposium on lattice field theory (Lattice-15).
- Dates
- 22-26 Jul 1997.
- Place
- Edinburgh (United Kingdom).
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 29025360
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; BOSE-EINSTEIN CONDENSATION; CHIRALITY; DIRAC OPERATORS; EIGENVALUES; EXTRAPOLATION; LATTICE FIELD THEORY; STATISTICAL MODELS; SU-2 GROUPS; THERMODYNAMICS; UNIFIED GAUGE MODELS
- Descriptors DEC
- CONSTRUCTIVE FIELD THEORY; FIELD THEORIES; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUMERICAL SOLUTION; PARTICLE MODELS; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SU GROUPS; SYMMETRY GROUPS
Optional Information
- Notes
- 7 refs.