Chern-Simons electrodynamics in (2+1)-spacetime with torsion

Details Chern-Simons electrodynamics in (2+1)-spacetime with torsion Chern-Simons electrodynamics in (2+1)-spacetime with torsion

1998-12-18

arxiv.org/abs/gr-qc/9812066v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages latex

Scientific paper

Chern-Simons electrodynamics in 2+1-spacetimes with torsion is investigated. We start from the usual Chern-Simons (CS) electrodynamics Lagrangian and Cartan torsion is introduced in the covariant derivative and by a direct coupling of torsion vector to the CS field. Variation of the Lagrangian with respect to torsion shows that Chern-Simons field is proportional to the product of the square of the scalar field and torsion. The electric field is proportional to torsion vector and the magnetic flux is computed in terms of the time-component of the two dimensional torsion. Contrary to early massive electrodynamics in the present model the photon mass does not depend on torsion.

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