Hamiltonian embedding of the massive noncommutative U(1) theory

Details Hamiltonian embedding of the massive noncommutative U(1) theory Hamiltonian embedding of the massive noncommutative U(1) theory

2001-01-29

arxiv.org/abs/hep-th/0101196v1

Phys.Rev. D64 (2001) 065013

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Revtex (multicol)

Scientific paper

10.1103/PhysRevD.64.065013

We show that the massive noncommutative U(1) can be embedded in a gauge theory by using the BFFT Hamiltonian formalism. By virtue of the peculiar non-Abelian algebraic structure of the noncommutative massive U(1) theory, several specific identities involving Moyal commutators had to be used in order to make the embedding possible. This leads to an infinite number of steps in the iterative process of obtaining first-class constraints. We also shown that the involutive Hamiltonian can be constructed.

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