INFLUENCE OF GRAVITY ON NONCOMMUTATIVE DIRAC EQUATION

@article{Bourouaine2005INFLUENCEOG,
  title={INFLUENCE OF GRAVITY ON NONCOMMUTATIVE DIRAC EQUATION},
  author={Sofiane Bourouaine and Achour Benslama},
  journal={Modern Physics Letters A},
  year={2005},
  volume={20},
  pages={1997-2005}
}
In this paper, we investigate the influence of gravity and noncommutativity on Dirac particles. By adopting the tetrad formalism, we show that the modified Dirac equation keeps the same form. The only modification is in the expression of the covariant derivative. The new form of this derivative is the product of its counterpart given in curved spacetime with an operator which depends on the noncommutative θ-parameter. As an application, we have computed the density number of the created… 
4 Citations
Noncommutative quantum electrodynamics in path integral framework
In this paper, the dynamics of a relativistic particle of spin 1/2, interacting with an external electromagnetic field in noncommutative space, is studied in the path integral framework. By adopting
Gauge gravity in noncommutative de Sitter space and pair creation
From the invariance of the generalized space-time non-commutative commutation relations, local Poincare and general coordinate transformations are derived. Moreover, a generalized Dirac equation is
Canonical noncommutativity algebra for the tetrad field in general relativity
General relativity under the assumption of noncommuting components of the tetrad field is considered in this paper. Since the algebraic properties of the tetrad field representing the gravitational
MHD waves within noncommutative Maxwell theory
Abstract In the presence of a strong uniform magnetic field, we study the influence of space noncommutativity on the electromagnetic waves propagating through a quasi-static homogeneous plasma. In

References

SHOWING 1-10 OF 48 REFERENCES
Construction of non-Abelian gauge theories on noncommutative spaces
Abstract. We present a formalism to explicitly construct non-Abelian gauge theories on noncommutative spaces (induced via a star product with a constant Poisson tensor) from a consistency relation.
Noncommutative Geometry and Matrix Theory: Compactification on Tori
We study toroidal compactification of Matrix theory, using ideas and results of noncommutative geometry. We generalize this to compactification on the noncommutative torus, explain the classification
Creation of scalar and Dirac particles in the presence of a time varying electric field in an anisotropic Bianchi type I universe
In this article we compute the density of scalar and Dirac particles created by a cosmological anisotropic Bianchi type I universe in the presence of a time varying electric field. We show that the
Book-Review - Aspects of Quantum Field Theory in Curved Spacetime
Preface 1. A quick course in quantum mechanics 2. Self-adjoint, elliptic differential operators and eigen-function expansions 3. Quantisation of a static, scalar field theory 4. Two-point functions
CREATION OF DIRAC PARTICLES IN THE PRESENCE OF A CONSTANT ELECTRIC FIELD IN AN ANISOTROPIC BIANCHI I UNIVERSE
In this article we compute the density of Dirac particles created by a cosmological anisotropic Bianchi I universe in the presence of a constant electric field. We show that the particle distribution
Phenomenology of Lorentz-conserving noncommutative QED
Recently a version of Lorentz-conserving noncommutative field theory (NCFT) has been suggested. The underlying Lie algebra of the theory is the same as that of Doplicher, Fredenhagen, and Roberts. In
Review of the phenomenology of noncommutative geometry
We present a pedagogical review of particle physics models that are based on the noncommutativity of space–time, $[\hat{x}_\mu,\hat{x}_\nu]=i \theta_{\mu\nu}$, with specific attention to the
...
1
2
3
4
5
...