2001/04/30 by Branislav Jurco, B. Jurčo, L. Möller +7 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1007/s100520100731
published as Eur.Phys.J.C21:383-388,2001 · 11 pages; accepted for publication in European Physical Journal C; one misprint corrected
openalex publication_date 2001/06/01 · arxiv created 2001/08/03 · arxiv updated 2011/09/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We present a formalism to explicitly construct non-Abelian gauge theories on noncommutative spaces (induced via a star product with aconstant Poisson tensor) from a consistency relation. This results in an expansion of the gauge parameter, the noncommutative gauge potential and fields in the fundamental representation, in powers of a parameter of the noncommutativity. This allows the explicit construction of actions for these gauge theories.