Group manifold approach to field quantisation
- 7 December 1988
- journal article
- research article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (23) , 4265-4287
- https://doi.org/10.1088/0305-4470/21/23/012
Abstract
The authors generalise a previously introduced group manifold approach to quantisation in order to apply it to the quantisation of free fields. The procedure is based on the consideration of infinite-dimensional groups, for which the appropriate generalisations of certain concepts of ordinary Lie group theory are introduced. The cases of the Klein-Gordon and the Proca fields are treated in detail, the latter to illustrate the treatment of constraints. The zero-mass limit of the vector fields is also briefly discussed in connection with the Stuckelberg formalism.This publication has 16 references indexed in Scilit:
- Introducing supersymmetryPhysics Reports, 1985
- Group manifold analysis of the structure of relativistic quantum dynamicsAnnals of Physics, 1985
- Symmetries of the pre-Klein-Gordon bundle: a Lagrangian analysis of quantum relativistic symmetryJournal of Physics A: General Physics, 1985
- Cohomology, central extensions, and (dynamical) groupsInternational Journal of Theoretical Physics, 1985
- Quantization, symmetry, and natural polarizationJournal of Mathematical Physics, 1984
- Supergroup extensions: From central charges to quantization through relativistic wave equationsPhysics Letters B, 1983
- Quantization as a consequence of the symmetry group: An approach to geometric quantizationJournal of Mathematical Physics, 1982
- Geometric quantization and the Bogoliubov transformationProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1981
- The classical mechanics for bose-fermi systemsIl Nuovo Cimento A (1971-1996), 1976
- All possible generators of supersymmetries of the S-matrixNuclear Physics B, 1975