Background independent quantization and wave propagation

Details Background independent quantization and wave propagation Background independent quantization and wave propagation

2009-06-22

arxiv.org/abs/0906.4046v2

Phys.Rev.D80:044018,2009

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, minor revision to match PRD version

Scientific paper

10.1103/PhysRevD.80.044018

We apply a type of background independent "polymer" quantization to a free scalar field in a flat spacetime. Using semi-classical states, we find an effective wave equation that is both nonlinear and Lorentz invariance violating. We solve this equation perturbatively for several cases of physical interest, and show that polymer corrections to solutions of the Klein-Gordon equation depend on the amplitude of the field. This leads to an effective dispersion relation that depends on the amplitude, frequency and shape of the wave-packet, and is hence distinct from other modified dispersion relations found in the literature. We also demonstrate that polymer effects tend to accumulate with time for plane-symmetric waveforms. We conclude by discussing the possibility of measuring deviations from the Klein-Gordon equation in particle accelerators or astrophysical observations.

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