Influence of Gravity on noncommutative Dirac equation

Details Influence of Gravity on noncommutative Dirac equation Influence of Gravity on noncommutative Dirac equation

2005-07-06

arxiv.org/abs/hep-th/0507060v2

Mod.Phys.Lett.A20:1997-2005,2005

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, correct some miprints, Accepted for publication in journal of Mod. Phys. Letters A

Scientific paper

10.1142/S0217732305016798

In this paper, we investigate the influence of gravity and noncommutativity on Dirac equation. 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 space-time with an operator which depends on the noncommutative $\theta$-parameter. As an application, we have computed the density number of the created particles in presence of constant strong electric field in an anisotropic Bianchi universe.

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