2021/05/31 by Joaquim Gomis, Euihun Joung, Axel Kleinschmidt +1
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Field (mathematics) #Gravitation #Massless particle #Noncommutative and Quantum Gravity Theories #Particle (ecology) #Point (geometry) #Point particle #Quantum field theory #Quantum gravity #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1007/jhep08(2021)047
published as J. High Energ. Phys. 2021, 47 (2021) · 54 pages
openalex created_date 2021/05/10 · openalex publication_date 2021/08/11 · arxiv created 2021/09/09 · arxiv updated 2021/09/10 · openalex updated_date 2026/08/05
A bstract We construct a generalisation of the three-dimensional Poincaré algebra that also includes a colour symmetry factor. This algebra can be used to define coloured Poincaré gravity in three space-time dimensions as well as to study generalisations of massive and massless free particle models. We present various such generalised particle models that differ in which orbits of the coloured Poincaré symmetry are described. Our approach can be seen as a stepping stone towards the description of particles interacting with a non-abelian background field or as a starting point for a worldline formulation of an associated quantum field theory.