8,473 research outputs found
BFFT quantization with nonlinear constraints
We consider the method due to Batalin, Fradkin, Fradkina, and Tyutin (BFFT)
that makes the conversion of second-class constraints into first-class ones for
the case of nonlinear theories. We first present a general analysis of an
attempt to simplify the method, showing the conditions that must be fulfilled
in order to have first-class constraints for nonlinear theories but that are
linear in the auxiliary variables. There are cases where this simplification
cannot be done and the full BFFT method has to be used. However, in the way the
method is formulated, we show with details that it is not practicable to be
done. Finally, we speculate on a solution for these problems.Comment: 19 pages, Late
Noncommutative Particles in Curved Spaces
We present a formulation in a curved background of noncommutative mechanics,
where the object of noncommutativity is considered as an
independent quantity having a canonical conjugate momentum. We introduced a
noncommutative first-order action in D=10 curved spacetime and the covariant
equations of motions were computed. This model, invariant under diffeomorphism,
generalizes recent relativistic results.Comment: 1+15 pages. Latex. New comments and results adde
Hamiltonian embedding of the massive noncommutative U(1) theory
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.Comment: 8 pages, Revtex (multicol
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