INTRODUCING MATTER FIELDS IN SO(2,3)* MODEL OF NONCOMMUTATIVE GRAVITY

Marija Dimitrijevic-Ciric, Dragoljub Gocanin, Nikola Konjik, Voja Radovanovic

DOI Number
https://doi.org/10.2298/FUPCT1901031D
First page
031
Last page
042

Abstract


This is a review of some of our recent work concerning Noncommutative Field Theory founded on  gauge symmetry. One significant feature of this approach is that gravitational field, given by the vierbein, becomes manifest only after a suitable gauge fixing and it is formally united with other gauge fields. Starting from a model of pure noncommutative gravity, we extend it by introducing fermions and Yang-Mills gauge field. Using the enveloping algebra approach and the Seiberg-Witten map we construct corresponding actions and expand them perturbatively in powers of the canonical noncommutativity parameter . Unlike in the case of pure noncommutative gravity, first non-vanishing noncommutative corrections are linear in the noncommutativity parameter and they describe the coupling of matter and gauge fields with gravity due to spacetime noncommutativity. This is augmented by the fact that some of these corrections pertain even in flat spacetime where they induce potentially observable noncommutative deformations. We discuss the effects of noncommutativity on electron’s dispersion relation in the presence of constant background magnetic field – Landau levels. Our results could be useful for further investigation of phenomenological consequences of spacetime noncommutativity.

Keywords

NC gravity, Seiberg-Witten map, AdS gravity

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References


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