Quantum fields on noncommutative spacetimes: theory and phenomenology

DOI10.3842/SIGMA.2010.052zbMath1217.81116arXiv1003.4356MaRDI QIDQ543947

Mario Martone, Giuseppe Marmo, Alberto Ibort, Aiyalam P. Balachandran

Publication date: 17 June 2011

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4356

zbMATH Keywords

quantum field theorynoncommutative space-timePoincaré-Hopf algebratwisted field construction

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Spinor and twistor methods applied to problems in quantum theory (81R25) Noncommutative geometry in quantum theory (81R60)

Related Items (10)

Features of free particles system motion in noncommutative phase space and conservation of the total momentum ⋮ Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space ⋮ Dimensional flow and fuzziness in quantum gravity: emergence of stochastic spacetime ⋮ Multifractional theories: an unconventional review ⋮ Noncommutative phase space with rotational symmetry and hydrogen atom ⋮ Features of description of composite system’s motion in twist-deformed spacetime ⋮ Covariant quantum fields on noncommutative spacetimes ⋮ Observable traces of non-metricity: new constraints on metric-affine gravity ⋮ Nilpotent integrability, reduction of dynamical systems and a third-order Calogero-Moser system ⋮ Kinematic variables in noncommutative phase space and parameters of noncommutativity

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