https://doi.org/10.1140/epjc/s10052-008-0690-7
regular Article - Theoretical Physics
Towards a quantization of gauge fields on de Sitter group by functional integral method
1
Technical Physics Department “Politehnica” University Timisoara, Timisoara, Romania
2
Department of Physics “Gh. Asachi” Technical University Iasi, Iasi, Romania
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Received:
17
April
2008
Revised:
17
July
2008
Published online:
3
September
2008
Abstract
A formulation of the de Sitter symmetry as a purely inner symmetry defined on a fixed Minkowski space-time is presented. We define the generators of the de Sitter group and write the structure equations using a constant deformation parameter λ. The conserved gauge currents are calculated, and their physical meaning is given. Local gauge transformations and the corresponding covariant derivative depending on the gauge fields are also obtained. We study the behavior of gauge fields, the torsion and curvature tensors and give a regularization technique in terms of the ζ function.
© Springer-Verlag , 2008
