Gauge fields on Riemann - Cartan space - times Alberto
نویسنده
چکیده
Gauge fields are described on an Riemann-Cartan space-time by means of tensorvalued differential forms and exterior calculus. It is shown that minimal coupling procedure leads to a gauge invariant theory where gauge fields interact with torsion, and that consistency conditions for the gauge fields impose restrictions in the nonRiemannian structure of space-time. The new results differ from the well established ones obtained by using minimal coupling procedure at the action formulation. The sources of these differences are pointed out and discussed.
منابع مشابه
Massless DKP fields in Riemann-Cartan space-times
We study massless Duffin-Kemmer-Petiau (DKP) fields in the context of Einstein-Cartan gravitation theory. In the case of an identically vanishing torsion (Riemannian space-times) we show that there exists local gauge symmetries which reproduce the usual gauge symmetries for the massless scalar and electromagnetic fields. On the other hand, similarly to what happens with the Maxwell theory, a no...
متن کاملPropagating torsion from first principles
A propagating torsion model is derived from the requirement of compatibility between minimal action principle and minimal coupling procedure in Riemann-Cartan spacetimes. In the proposed model, the trace of the torsion tensor is derived from a scalar potential that determines the volume element of the spacetime. The equations of the model are write down for the vacuum and for various types of m...
متن کاملEinstein-Cartan theory of gravity revisited
The role of space-time torsion in general relativity is reviewed in accordance with some recent results on the subject. It is shown that, according to the connection compatibility condition, the usual Riemannian volume element is not appropriate in the presence of torsion. A new volume element is proposed and used in the Lagrangian formulation for Einstein-Cartan theory of gravity. The dynamica...
متن کاملar X iv : g r - qc / 9 71 10 64 v 1 2 0 N ov 1 99 7 Riemann - Cartan Space - times of Gödel Type
A class of Riemann-Cartan Gödel-type space-times are examined in the light of the equivalence problem techniques. The conditions for local space-time homogene-ity are derived, generalizing previous works on Riemannian Gödel-type space-times. The equivalence of Riemann-Cartan Gödel-type space-times of this class is studied. It is shown that they admit a five-dimensional group of affine-isometrie...
متن کامل5 Quantization of empty space
We suggest to use " minimal " choice of quantum gravity theory, that is the quantum field theory, in which space-time is seen as Rie-mannian space and metrics (or vierbein field) is the dynamical variable. We then suggest to use the simplest acceptable action, that is the squared curvature action. The correspondent model is renor-malizable, has the correct classical limit and can be explored us...
متن کامل