2020/08/21 by Krzysztof Andrzejewski, Cezary Gonera, Andrzejewski, Krzysztof +7
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2008.09478
openalex publication_date 2020/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The extensive analysis of the dynamics of relativistic spinning particles is presented. Using the coadjoint orbits method the Hamiltonian dynamics is explicitly described. The main technical tool is the factorization of general Lorentz transformation into pure boost and rotation. The equivalent constrained dynamics on Poincare group (viewed as configuration space) is derived and complete classification of constraints is performed. It is shown that the first class constraints generate local symmetry corresponding to the stability subgroup of some point on coadjoint orbit. The Dirac brackets for second class constraints are computed. Finally, canonical quantization is performed leading to infinitesimal form of irreducible representations of Poincare group.