4.7 Article

Anatomy of a deformed symmetry: Field quantization on curved momentum space

期刊

PHYSICAL REVIEW D
卷 83, 期 2, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.83.025025

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  1. EC
  2. Government of Canada through NSERC
  3. Province of Ontario through MRI

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In certain scenarios of deformed relativistic symmetries relevant for noncommutative field theories particles exhibit a momentum space described by a non-Abelian group manifold. Starting with a formulation of phase space for such particles which allows for a generalization to include group-valued momenta we discuss quantization of the corresponding field theory. Focusing on the particular case of kappa-deformed phase space we construct the one-particle Hilbert space and show how curvature in momentum space leads to an ambiguity in the quantization procedure reminiscent of the ambiguities one finds when quantizing fields in curved space-times. The tools gathered in the discussion on quantization allow for a clear definition of the basic deformed field mode operators and two-point function for kappa-quantum fields.

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