Lorentz Invariance Violation Matrix from a General Principle

Details Lorentz Invariance Violation Matrix from a General Principle Lorentz Invariance Violation Matrix from a General Principle

2010-09-07

arxiv.org/abs/1009.1331v1

Mod.Phys.Lett.A25:2489-2499,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, no figure

Scientific paper

10.1142/S0217732310033761

We show that a general principle of physical independence or physical invariance of mathematical background manifold leads to a replacement of the common derivative operators by the covariant co-derivative ones. This replacement naturally induces a background matrix, by means of which we obtain an effective Lagrangian for the minimal standard model with supplement terms characterizing Lorentz invariance violation or anisotropy of space-time. We construct a simple model of the background matrix and find that the strength of Lorentz violation of proton in the photopion production is of the order $10^{-23}$.

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