Perturbative noncommutative quantum gravity

Aug, 2000
12 pages
Published in:
  • Phys.Lett.B 493 (2000) 142-148
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Abstract:
We study perturbative noncommutative quantum gravity by expanding the gravitational field about a fixed classical background. A calculation of the one loop gravitational self-energy graph reveals that only the non-planar graviton loops are damped by oscillating internal momentum dependent factors. The noncommutative quantum gravity perturbation theory is not renormalizable beyond one loop for matter-free gravity and all loops for matter interactions. Comments are made about the nonlocal gravitational interactions produced by the noncommutative spacetime geometry.
  • quantum gravity
  • differential geometry: noncommutative
  • field theory: action
  • propagator
  • perturbation theory: higher-order
  • nonperturbative
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