Influence of Gravity on Noncommutative Dirac Equation
Abstract
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 θparameter. As an application, we have computed the density number of the created particles in the presence of constant strong electric field in an anisotropic Bianchi universe.
 Publication:

Modern Physics Letters A
 Pub Date:
 2005
 DOI:
 10.1142/S0217732305016798
 arXiv:
 arXiv:hepth/0507060
 Bibcode:
 2005MPLA...20.1997B
 Keywords:

 03.65.Pm;
 04.62.+v;
 11.10.Nx;
 98.80.Jk;
 Relativistic wave equations;
 Quantum field theory in curved spacetime;
 Noncommutative field theory;
 Mathematical and relativistic aspects of cosmology;
 High Energy Physics  Theory
 EPrint:
 9 pages, correct some miprints, Accepted for publication in journal of Mod. Phys. Letters A