Published January 15, 2003
| Version v1
Journal article
Spectrum of the Hermitian Wilson-Dirac operator for a uniform magnetic field in two dimensions
- 1. Department of Mathematical Sciences, Ibaraki University, Mito 310-8512 (Japan)
- 2. Graduate School of Science and Engineering, Ibaraki University, Mito 310-8512 (Japan)
Description
The spectrum of the Hermitian Wilson-Dirac operator is investigated for an arbitrary uniform magnetic field in two dimensions. It can be described by a relativistic analogue of the Harper equation. The index of the overlap Dirac operator is obtained directly from the spectral asymmetry of the relativistic Harper system. It coincides with the topological charge if the field strength is equal to or less than π/2
Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.67.025015;
- arXiv
- arXiv:hep-lat/0206014v2;
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 67
- Journal Issue
- 2
- Journal Page Range
- p. 025015-025015.4
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35075160
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
- Descriptors DEI
- ASYMMETRY; DIRAC EQUATION; DIRAC OPERATORS; LATTICE FIELD THEORY; MAGNETIC FIELDS; RELATIVISTIC RANGE
- Descriptors DEC
- CONSTRUCTIVE FIELD THEORY; DIFFERENTIAL EQUATIONS; ENERGY RANGE; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2003 The American Physical Society