Abstract
Quantum mechanics with a generalized uncertainty principle arises through a representation of the commutator . We apply this deformed quantization to free scalar field theory for . The resulting quantum field theories have a rich fine scale structure. For small wavelength modes, the Green’s function for exhibits a remarkable transition from Lorentz to Galilean invariance, whereas for such modes effectively do not propagate. For both cases Lorentz invariance is recovered at long wavelengths.
- Received 7 September 2012
DOI:https://doi.org/10.1103/PhysRevD.87.025014
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