Published April 15, 1984
| Version v1
Journal article
Symmetries of the Dirac equation
Creators
- 1. Department of Physics, Iowa State University, Ames, Iowa 50011
Description
The symmetry of the free Dirac equation recently discussed by Radford is regarded as a subgroup of a larger SL(2,C) group of transformations. The Radford Lagrangian is shown to be unsatisfactory for a field theory quantized according to Fermi-Dirac statistics, and is replaced by a suitable alternative. The symmetry of the Dirac equation, of the equal-time field anticommutation relations, and of the Lagrangian, is studied under SL(2,C) and various subgroups. In particular, it is found that the Radford subgroup is not a symmetry of the quantized field theory
Additional details
Publishing Information
- Journal Title
- Phys. Rev., D
- Journal Volume
- 29
- Journal Issue
- 8
- Series
- Phys. Rev., D.
- Journal Page Range
- 1848-1850
- ISSN
- 0556-2821
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 15071388
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DIRAC EQUATION; ELECTROMAGNETIC FIELDS; FERMI STATISTICS; LAGRANGIAN FUNCTION; LORENTZ TRANSFORMATIONS; QUANTUM FIELD THEORY; SL GROUPS; SPACE-TIME; SPINORS; SU GROUPS; SYMMETRY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; FUNCTIONS; LIE GROUPS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY GROUPS; WAVE EQUATIONS