Loop quantum gravity and light propagation

Details Loop quantum gravity and light propagation Loop quantum gravity and light propagation

2001-08-09

arxiv.org/abs/hep-th/0108061v3

Phys.Rev. D65 (2002) 103509

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 45 pages, shorter abstract, additional references

Scientific paper

10.1103/PhysRevD.65.103509

Within loop quantum gravity we construct a coarse-grained approximation for the Einstein-Maxwell theory that yields effective Maxwell equations in flat spacetime comprising Planck scale corrections. The corresponding Hamiltonian is defined as the expectation value of the electromagnetic term in the Einstein-Maxwell Hamiltonian constraint, regularized a la Thiemann, with respect to a would-be semiclassical state. The resulting energy dispersion relations entail Planck scale corrections to those in flat spacetime. Both the helicity dependent contribution of Gambini and Pullin [GP] and, for a value of a parameter of our approximation, that of Ellis et. al. [ELLISETAL] are recovered. The electric/magnetic asymmetry in the regularization procedure yields nonlinearities only in the magnetic sector which are briefly discussed. Observations of cosmological Gamma Ray Bursts might eventually lead to the needed accuracy to study some of these quantum gravity effects.

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