Derivation of Lorentz Invariance and Three Space Dimensions in Generic Field Theory

Details Derivation of Lorentz Invariance and Three Space Dimensions in Generic Field Theory Derivation of Lorentz Invariance and Three Space Dimensions in Generic Field Theory

2002-11-07

arxiv.org/abs/hep-ph/0211106v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, LaTeX, to be published in the Proceedings of the International Workshop on What comes beyond the Standard Model, Ble

Scientific paper

A very general quantum field theory, which is not even assumed to be Lorentz invariant, is studied in the limit of very low energy excitations. Fermion and Boson field theories are considered in parallel. Remarkably, in both cases it is argued that, in the free and lowest energy approximation, a relativistic theory with just three space and one time dimension emerges for each particle type separately. In the case of Fermion fields it is in the form of the Weyl equation, while in the case of the Bosons it is essentially in the form of the Maxwell equations.

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