Quantum Theory of Noncommutative Fields
J. M. Carmona, J. L. Cortes, J. Gamboa, F. Mendez
Abstract
Generalizing the noncommutative harmonic oscillator construction, we propose a new extension of quantum field theory based on the concept of "noncommutative fields". Our description permits to break the usual particle-antiparticle degeneracy at the dispersion relation level and introduces naturally an ultraviolet and an infrared cutoff. Phenomenological bounds for these new energy scales are given.
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