2003/09/05 by Yoshitaka Okumura, Okumura, Yoshitaka, Katsusada Morita +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0309060
11 pages
openalex publication_date 2003/09/05 · arxiv created 2003/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Lorentz covariance is the fundamental principle of every relativistic field theory which insures consistent physical descriptions. Even if the space-time is noncommutative, field theories on it should keep Lorentz covariance. In this paper, the nonabelian gauge theory on noncommutative spacetime is defined and its Lorentz invariance is maintained based on the idea of Carlson, Carone and Zobin. The deviation from the standard model in particle physics has not yet observed, and so any model beyond standard model must reduce to it in some approximation. Noncommutative gauge theory must also reproduce standard model in the limit of noncommutative parameter θμν→0. Referring to Jur\checkco \it et. al., we will construct the nonabelian gauge theory that deserves to formulate standard model. BRST symmetry is very important to quantize nonabelian gauge theory and construct the covariant canonical formulation. It is discussed about the fields in noncommutative gauge theory without considering those components. Scale symmetry of ghost fields is also discussed.