Abstract
The standard Dirac bracket construction is generalized to the case of infinitely reducible second class constraints. Reducibility of constraints is shown to manifest itself in weakening the Jacobi identity for the construction, that now holds on the second class constraint surface only. The proposed scheme is realized for N = 1 superparticle model in ten dimensions.
| Original language | English |
|---|---|
| Pages (from-to) | 141-145 |
| Number of pages | 5 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 386 |
| Issue number | 1-4 |
| DOIs | |
| Publication status | Published - 3 Oct 1996 |
Keywords
- Covariant quantization
- Dirac bracket
- Mixed constraints
- Superparticle
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Deriglazov, A. A., Galajinsky, A. V., & Lyakhovich, S. L. (1996). Consistent Dirac bracket for dynamical systems with infinitely reducible second class constraints. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 386(1-4), 141-145. https://doi.org/10.1016/0370-2693(96)00905-7