Reconstruction of higher-stage first-class constraints into the secondary ones

A. A. Deriglazov

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Starting from a Lagrangian theory L with first class constraints up to Nth stage, we construct an equivalent Lagrangian with at most secondary first-class constraints presented in a Hamiltonian formulation. The Lagrangian can be obtained by pure algebraic methods, its manifest form in terms of quantities of the initial formulation is found. Local symmetries of are found in a closed form. All the constraints of L turn out to be gauge symmetry generators for .

Original languageEnglish
Article number008
Pages (from-to)11083-11092
Number of pages10
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
Issue number36
DOIs
Publication statusPublished - 7 Sep 2007

Fingerprint

Hamiltonians
Gages
formulations
Hamiltonian Formulation
Gauge Symmetry
Algebraic Methods
symmetry
Closed-form
generators
Generator
Symmetry
Formulation
Class

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Modelling and Simulation
  • Statistics and Probability

Cite this

Reconstruction of higher-stage first-class constraints into the secondary ones. / Deriglazov, A. A.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 40, No. 36, 008, 07.09.2007, p. 11083-11092.

Research output: Contribution to journalArticle

@article{8fa6fb3755274558a199033229a23033,
title = "Reconstruction of higher-stage first-class constraints into the secondary ones",
abstract = "Starting from a Lagrangian theory L with first class constraints up to Nth stage, we construct an equivalent Lagrangian with at most secondary first-class constraints presented in a Hamiltonian formulation. The Lagrangian can be obtained by pure algebraic methods, its manifest form in terms of quantities of the initial formulation is found. Local symmetries of are found in a closed form. All the constraints of L turn out to be gauge symmetry generators for .",
author = "Deriglazov, {A. A.}",
year = "2007",
month = "9",
day = "7",
doi = "10.1088/1751-8113/40/36/008",
language = "English",
volume = "40",
pages = "11083--11092",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "36",

}

TY - JOUR

T1 - Reconstruction of higher-stage first-class constraints into the secondary ones

AU - Deriglazov, A. A.

PY - 2007/9/7

Y1 - 2007/9/7

N2 - Starting from a Lagrangian theory L with first class constraints up to Nth stage, we construct an equivalent Lagrangian with at most secondary first-class constraints presented in a Hamiltonian formulation. The Lagrangian can be obtained by pure algebraic methods, its manifest form in terms of quantities of the initial formulation is found. Local symmetries of are found in a closed form. All the constraints of L turn out to be gauge symmetry generators for .

AB - Starting from a Lagrangian theory L with first class constraints up to Nth stage, we construct an equivalent Lagrangian with at most secondary first-class constraints presented in a Hamiltonian formulation. The Lagrangian can be obtained by pure algebraic methods, its manifest form in terms of quantities of the initial formulation is found. Local symmetries of are found in a closed form. All the constraints of L turn out to be gauge symmetry generators for .

UR - http://www.scopus.com/inward/record.url?scp=34548212257&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34548212257&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/40/36/008

DO - 10.1088/1751-8113/40/36/008

M3 - Article

VL - 40

SP - 11083

EP - 11092

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 36

M1 - 008

ER -