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Canonical analysis of space-time noncommutative theories and gauge symmetries

2004/09/13 by Dmitri Vassilevich, Dmitri V. Vassilevich, Vassilevich, Dmitri V.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0409127

12 pages, v2: a reference added, a misprint corrected

arxiv created 2004/09/15 · arxiv updated 2009/12/01

Abstract

We construct a modification of the Poisson bracket which is suitable for a canonical analysis of space-time noncommutative field theories. We show that this bracket satisfies the Jacobi identities and generates equations of motion. In this modified canonical formalism one can define the notion of the first-class constraints, demonstrate that they generate gauge symmetries, and derive an explicit form of these symmetry transformations.

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