Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-12-17
Phys.Rev.D59:116008,1999
Physics
High Energy Physics
High Energy Physics - Phenomenology
33 pages, uses harvmac. This 2nd revision corrects two typos, an error in the Appendix, and includes further acknowledgements
Scientific paper
10.1103/PhysRevD.59.116008
We develop a perturbative framework with which to discuss departures from exact Lorentz invariance and explore their potentially observable ramifications. Tiny non-invariant terms introduced into the standard model Lagrangian are assumed to be renormalizable (dimension $\le 4$), invariant under $SU(3)\otimes SU(2)\otimes U(1)$ gauge transformations, and rotationally and translationally invariant in a preferred frame. There are a total of 46 independent TCP-even perturbations of this kind, all of which preserve anomaly cancellation. They define the energy-momentum eigenstates and their maximal attainable velocities in the high-energy limit. The effects of these perturbations increase rapidly with energy in the preferred frame, more rapidly than those of TCP-odd perturbations. Our analysis of Lorentz-violating kinematics reveals several striking new phenomena that are relevant both to cosmic-ray physics ({\it e.g.,} by undoing the GZK cutoff) and neutrino physics ({\it e.g.,} by generating novel types of neutrino oscillations). These may lead to new and sensitive high-energy tests of special relativity.
Coleman Sidney
Glashow Sheldon L.
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