2002/10/10 by V. G. Gueorguiev, Vesselin G. Gueorguiev, Gueorguiev, Vesselin G. · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0210022
11 pages, no figures, talk presented at the the 4th Conference on Geometry, Integrability and Quantization in Sts. Constantine and Elena resort (near Varna), Bulgaria, June 6-15, 2002
arxiv created 2002/10/10 · openalex publication_date 2002/10/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study reparametrization-invariant systems, mainly the relativistic particle and its D-dimensional extended object generalization--d-brane. The corresponding matter Lagrangians naturally contain background interactions, like electromagnetism and gravity. For a d-brane that doesn't alter the background fields, we define non-relativistic equations assuming integral sub-manifold embedding of the d-brane. The mass-shell constraint and the Klein-Gordon equation are shown to be universal when gravity-like interaction is present. Our approach to the Dirac equation follows Rund's technique for the algebra of the γ-matrices that doesn't rely on the Klein-Gordon equation.