Quantum Theory of Noncommutative Fields

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.

LaTeX file, JHEP3.cls, subequations.sty; 12 pages, no figures. Final version published in JHEP with some references added

References in corpus (2)

• Noncommutativity in Field Space and Lorentz Invariance Violation
• Detectability of Space-Time Fluctuations in Ultra High Energy Cosmic Ray Experiments

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