2004/02/05 by Ciprian Acatrinei, Ciprian S. Acatrinei, Acatrinei, Ciprian S.
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0402049
16 pages
arxiv created 2004/02/05 · openalex publication_date 2004/02/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The gauge connections corresponding to electromagnetism, Yang-Mills theory and Einstein gravity can be derived by assuming specific commutation relations between the phase-space variables of a first quantized theory. Extending the procedure to noncommuting coordinates leads to new types of dynamics, which are explored. In particular, the conditions for the coexistence of an electromagnetic background and a noncommutative two-from are found, as well as a generalized mechanism of dimensional reduction. The noncommutative deformation of a gravitational background is also constructed. The present formulation suggests some simple experimental tests of noncommutativity.