Noncommutativity in Field Space and Lorentz Invariance Violation
Carmona, J. M. · Cortes, J. L. · Gamboa, J. · Mendez, F.
Original · EN
The connection between Lorentz invariance violation and noncommutativity of fields in a quantum field theory is investigated. A new dispersion relation for a free field theory with just one additional noncommutative parameter is obtained. While values for the noncommutative scale much larger than 10⁻²⁰ eV⁻¹ are ruled out by the present experimental status, cosmic ray physics would be compatible with and sensible to a noncommutativity arising from quantum gravity effects. We explore the matter-antimatter asymmetry which is naturally present in this framework.
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