Diffeomorphism Groups, Gauge Groups, and Quantum Theory
- 19 December 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 51 (25) , 2246-2249
- https://doi.org/10.1103/physrevlett.51.2246
Abstract
Unitary representations of the infinite-parameter group are presented which describe particles with spin as well as tightly bound composite particles. These results support the idea that can serve as a "universal group" for quantum theory.
Keywords
This publication has 10 references indexed in Scilit:
- Rotation generators in two-dimensional space and particles obeying unusual statisticsPhysical Review D, 1983
- Induced representations of the group of diffeomorphisms of R3Journal of Physics A: General Physics, 1983
- Half-integral spin from quantum gravityGeneral Relativity and Gravitation, 1982
- Magnetic Flux, Angular Momentum, and StatisticsPhysical Review Letters, 1982
- Spin ½ from GravityPhysical Review Letters, 1980
- Particle statistics from induced representations of a local current groupJournal of Mathematical Physics, 1980
- The unitary irreducible representations of SL¯ (3,R)Journal of Mathematical Physics, 1975
- Rotational bands in nuclei as induced group representationsAnnals of Physics, 1973
- Nonrelativistic Current Algebras as Unitary Representations of GroupsJournal of Mathematical Physics, 1971
- Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaitsAnnales de l'institut Fourier, 1966