### Abstract

For a theory with first and second class constraints, we propose a procedure for conversion of second class constraints based on deformation the structure of local symmetries of the Lagrangian formulation. It does not require extension or reduction of configuration space of the theory. We give examples in which the initial formulation implies a nonlinear realization of some global symmetries, therefore is not convenient. The conversion reveals hidden symmetry presented in the theory. The extra gauge freedom of conversed version is used to search for a parameterization which linearizes the equations of motion. We apply the above procedure to membrane theory (in the formulation with world-volume metric). In the resulting version, all the metric components are gauge degrees of freedom. The above procedure works also in a theory with only second class constraints presented. As an examples, we discuss arbitrary dynamical system of classical mechanics subject to kinematic constraints, O (N)-invariant nonlinear sigma-model, and the theory of massive vector field with Maxwell-Proca Lagrangian.

Original language | English |
---|---|

Pages (from-to) | 47-53 |

Number of pages | 7 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 646 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Mar 2007 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*646*(1), 47-53. https://doi.org/10.1016/j.physletb.2007.01.004

**Conversion of second class constraints by deformation of Lagrangian local symmetries.** / Deriglazov, A. A.; Kuznetsova, Z.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 646, no. 1, pp. 47-53. https://doi.org/10.1016/j.physletb.2007.01.004

}

TY - JOUR

T1 - Conversion of second class constraints by deformation of Lagrangian local symmetries

AU - Deriglazov, A. A.

AU - Kuznetsova, Z.

PY - 2007/3/1

Y1 - 2007/3/1

N2 - For a theory with first and second class constraints, we propose a procedure for conversion of second class constraints based on deformation the structure of local symmetries of the Lagrangian formulation. It does not require extension or reduction of configuration space of the theory. We give examples in which the initial formulation implies a nonlinear realization of some global symmetries, therefore is not convenient. The conversion reveals hidden symmetry presented in the theory. The extra gauge freedom of conversed version is used to search for a parameterization which linearizes the equations of motion. We apply the above procedure to membrane theory (in the formulation with world-volume metric). In the resulting version, all the metric components are gauge degrees of freedom. The above procedure works also in a theory with only second class constraints presented. As an examples, we discuss arbitrary dynamical system of classical mechanics subject to kinematic constraints, O (N)-invariant nonlinear sigma-model, and the theory of massive vector field with Maxwell-Proca Lagrangian.

AB - For a theory with first and second class constraints, we propose a procedure for conversion of second class constraints based on deformation the structure of local symmetries of the Lagrangian formulation. It does not require extension or reduction of configuration space of the theory. We give examples in which the initial formulation implies a nonlinear realization of some global symmetries, therefore is not convenient. The conversion reveals hidden symmetry presented in the theory. The extra gauge freedom of conversed version is used to search for a parameterization which linearizes the equations of motion. We apply the above procedure to membrane theory (in the formulation with world-volume metric). In the resulting version, all the metric components are gauge degrees of freedom. The above procedure works also in a theory with only second class constraints presented. As an examples, we discuss arbitrary dynamical system of classical mechanics subject to kinematic constraints, O (N)-invariant nonlinear sigma-model, and the theory of massive vector field with Maxwell-Proca Lagrangian.

UR - http://www.scopus.com/inward/record.url?scp=33846862675&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33846862675&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2007.01.004

DO - 10.1016/j.physletb.2007.01.004

M3 - Article

VL - 646

SP - 47

EP - 53

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

ER -