5 research outputs found
Hamiltonian symplectic embedding of the massive noncommutative U(1) Theory
We show that the massive noncommutative U(1) theory is embedded in a gauge
theory using an alternative systematic way, which is based on the symplectic
framework. The embedded Hamiltonian density is obtained after a finite number
of steps in the iterative symplectic process, oppositely to the result proposed
using the BFFT formalism. This alternative formalism of embedding shows how to
get a set of dynamically equivalent embedded Hamiltonian densities.Comment: 16 pages, no figures, revtex4, corrected version, references
additione
Open string with a background B-field as the first order mechanics, noncommutativity and soldering formalism
To study noncommutativity properties of the open string with constant B-field
we construct a mechanical action which reproduces classical dynamics of the
string sector under consideration. It allows one to apply the Dirac
quantization procedure for constrained systems in a direct and unambiguous way.
The mechanical action turns out to be the first order system without taking the
strong field limit . In particular, it is true for zero
mode of the string coordinate which means that the noncommutativity is
intrinsic property of this mechanical system. We describe the arbitrariness in
the relation existent between the mechanical and the string variables and show
that noncommutativity of the string variables on the boundary can be removed.
It is in correspondence with the result of Seiberg and Witten on relation among
noncommutative and ordinary Yang-Mills theories. The recently developed
soldering formalism helps us to establish a connection between the original
open string action and the Polyakov action.Comment: Revtex4, 8 pages. To appear in Physical Review
Noncommutative cosmological models coupled to a perfect fluid and a cosmological constant
In this work we carry out a noncommutative analysis of several
Friedmann-Robert-Walker models, coupled to different types of perfect fluids
and in the presence of a cosmological constant. The classical field equations
are modified, by the introduction of a shift operator, in order to introduce
noncommutativity in these models. We notice that the noncommutative versions of
these models show several relevant differences with respect to the
correspondent commutative ones.Comment: 27 pages. 7 figures. JHEP style.arXiv admin note: substantial text
overlap with arXiv:1104.481