1992/01/01 by Achim Kempf, Kempf, Achim
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9211023
6 pages; Withdrawn at author's request Mon, 30 Oct 95
openalex publication_date 1992/01/01 · arxiv created 1992/11/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In quantum field theory the creation and annihilation operators that are located at the points in 3-momentum space have commutation relations that are conserved under the action of a U(∞) group. Here it is shown how to define an appropriate Uq(∞) which then leads to deformed commutation relations. A formalism that was previously defined for quantum group symmetric quantum mechanics can be applied by imposing simple adjustments. The simplest example of a free scalar q-bosonic field is discussed. The deformation occurs as a multi-particle effect, which introduces a kinetic energy (i.e. (p)2) - ordering of the involved particles.