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 |
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Keywords
- Covariant quantization
- Dirac bracket
- Mixed constraints
- Superparticle
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Consistent Dirac bracket for dynamical systems with infinitely reducible second class constraints. / Deriglazov, A. A.; Galajinsky, A. V.; Lyakhovich, S. L.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 386, No. 1-4, 03.10.1996, p. 141-145.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Consistent Dirac bracket for dynamical systems with infinitely reducible second class constraints
AU - Deriglazov, A. A.
AU - Galajinsky, A. V.
AU - Lyakhovich, S. L.
PY - 1996/10/3
Y1 - 1996/10/3
N2 - 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.
AB - 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.
KW - Covariant quantization
KW - Dirac bracket
KW - Mixed constraints
KW - Superparticle
UR - http://www.scopus.com/inward/record.url?scp=0042125074&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0042125074&partnerID=8YFLogxK
U2 - 10.1016/0370-2693(96)00905-7
DO - 10.1016/0370-2693(96)00905-7
M3 - Article
VL - 386
SP - 141
EP - 145
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1-4
ER -