Canonical analysis of space-time noncommutative theories and gauge symmetries

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.

arXiv comment12 pages, v2: a reference added, a misprint corrected

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Cited by in corpus (5)

• Light Propagation in a Background Field for Time-Space Noncommutativity and Axionic Noncommutative QED
• Lost equivalence of nonlinear sigma and $C{P}^1$ models on noncommutative space
• Perturbative quantization of two-dimensional space-time noncommutative QED
• Constraints, gauge symmetries, and noncommutative gravity in two dimensions
• Aspects of noncommutativity in field theory, strings and membranes