Wednesday, August 29, 2012

1208.5761 (Viqar Husain et al.)

Generalized uncertainty principles and quantum field theory    [PDF]

Viqar Husain, Dawood Kothawala, Sanjeev S. Seahra
Quantum mechanics with a generalized uncertainty principle arises through a representation of the commutator $[\hat{x}, \hat{p}] = i f(\hat{p})$. We apply this deformed quantization to free scalar field theory for $f_\pm =1\pm \beta p^2$. The resulting quantum field theories have a rich fine scale structure. For small wavelength modes, the Green's function for $f_+$ exhibits a remarkable transition from Lorentz to Galilean invariance, whereas for $f_-$ such modes effectively do not propagate. For both cases Lorentz invariance is recovered at long wavelengths.
View original: http://arxiv.org/abs/1208.5761

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