Published August 10, 1992
| Version v1
Journal article
Phase holonomy of the vacuum in three-dimensional gauge theories
Description
In this paper, the phase two-form of Berry in the neighborhood of a degeneracy of the Fock vacuum of a semisimple, nonabelian, second-quantized, relativistic fermion-background gauge field Hamiltonian is shown to be that of the Dirac magnetic monopole - thus extending a result of Berry to field theory. The Dirac Hamiltonian for an SU(2) fermion on the two-sphere is solved in a particular two-parameter family of background instanton gauge potentials as an explicit illustrative example
Additional details
Publishing Information
- Journal Title
- International Journal of Modern Physics A
- Journal Volume
- 7
- Journal Issue
- 20
- Journal Page Range
- p. 4937-4948.
- ISSN
- 0217-751X
- CODEN
- IMPAEF
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 24031041
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- DIRAC EQUATION; FERMIONS; FIELD THEORIES; FOCK REPRESENTATION; GAUGE INVARIANCE; HAMILTONIANS; INSTANTONS; MAGNETIC MONOPOLES; RELATIVISTIC RANGE; SECOND QUANTIZATION; SU-2 GROUPS; THREE-DIMENSIONAL CALCULATIONS; VACUUM STATES
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; ENERGY RANGE; EQUATIONS; FIELD EQUATIONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL OPERATORS; MONOPOLES; PARTIAL DIFFERENTIAL EQUATIONS; POSTULATED PARTICLES; QUANTIZATION; QUANTUM OPERATORS; QUASI PARTICLES; SU GROUPS; SYMMETRY GROUPS; WAVE EQUATIONS