Published November 15, 1977
| Version v1
Journal article
Lattice fermions
Description
The problem of formulating the field theory of Dirac particles on a spatial lattice is reviewed. In one dimension we construct free massless Dirac fields and Thirring fields and show their equivalence to the X-Y and asymmetric Heisenberg antiferromagnetic chains. In three dimensions we find that the simplest construction describes an isodoublet of massless Dirac fields. We discuss the incorporation of gauge degrees of freedom and illustrate how chiral symmetry is spontaneously broken by the interaction of gauge and fermion fields
Additional details
Identifiers
Publishing Information
- Journal Title
- Physical Review D
- Journal Volume
- 16
- Journal Issue
- 10
- Series
- Phys. Rev., D.
- Journal Page Range
- 3031-3039
- ISSN
- 0556-2821
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 9387121
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CHIRAL SYMMETRY; DIRAC EQUATION; DIRAC OPERATORS; FERMIONS; HEISENBERG PICTURE; MASSLESS PARTICLES; QUANTUM FIELD THEORY; SYMMETRY BREAKING; THIRRING MODEL; THREE-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; MATHEMATICAL OPERATORS; QUANTUM OPERATORS; SYMMETRY
Optional Information
- Notes
- Updated automatically by Metadata and Full-Text Enrichment Agent