### 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 |
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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 |

### Fingerprint

### Keywords

- Covariant quantization
- Dirac bracket
- Mixed constraints
- Superparticle

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*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

**Consistent Dirac bracket for dynamical systems with infinitely reducible second class constraints.** / Deriglazov, A. A.; Galajinsky, A. V.; Lyakhovich, S. L.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 386, no. 1-4, pp. 141-145. https://doi.org/10.1016/0370-2693(96)00905-7

}

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 -