Discrete dispersion relations and the breaking of Lorentz invariance

Details Discrete dispersion relations and the breaking of Lorentz invariance Discrete dispersion relations and the breaking of Lorentz invariance

Mar 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cqgra..23.1989s&link_type=abstract

Classical and Quantum Gravity, Volume 23, Issue 6, pp. 1989-1997 (2006).

Physics

2

Scientific paper

We present a spacetime discretization of the Klein Gordon equation, whose quadratic corrections to the continuum dispersion relation can be interpreted as Lorentz-invariance violating (LIV) effects. This discretization is based on a time-smearing procedure which, while violating micro-causality, does not preclude the emergence of macroscopically causal signals. The propagation of these signals is governed by a modified Klein Gordon equation resumming non-local effects at all orders in the ratio of the wavelength to the LIV length scale.

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