Noncommutative relativistic particle

2002/07/30 by Alexei A. Deriglazov, A. A. Deriglazov, Deriglazov, A. A.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0207274

5 pages

arxiv created 2002/07/30 · openalex publication_date 2002/07/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Noncommutative version of D-dimensional relativistic particle is proposed. We consider the particle interacting with the configuration space variable θ^μν(τ) instead of the numerical matrix. The corresponding Poincare invariant action has a local symmetry, which allows one to impose the gauge θ⁰ⁱ=0, ~ θ^ij=const. The matrix θ^ij turns out to be the noncommutativity parameter of the gauge fixed formulation. Poincare transformations of the gauge fixed formulation are presented in the manifest form.

Citations

• Open string with a background B-field as the first order mechanics and noncommutativity

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