(2+1)-dimensional models of relativistic particles with curvature and torsion

DOI10.1063/1.530485zbMath0808.70014OpenAlexW2004291812MaRDI QIDQ4314252

Yu. A. Kuznetsov, Mikhail S. Plyushchay

Publication date: 7 December 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530485

zbMATH Keywords

quantization procedureaction with maximal symmetryclassical and quantum spectratachyon-free modelsworld-trajectory curvature

Mathematics Subject Classification ID

Methods of quantum field theory in general relativity and gravitational theory (83C47) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

Related Items (8)

Conformal geometry of timelike curves in the \((1 + 2)\)-Einstein universe ⋮ Relativistic particles and the geometry of 4-D null curves ⋮ Lagrangian curves in a 4-dimensional affine symplectic space ⋮ Particles with curvature and torsion in three-dimensional pseudo-Riemannian space forms ⋮ Critical Robertson-Walker universes ⋮ RELATIVISTIC PARTICLES ALONG NULL CURVES IN 3D LORENTZIAN SPACE FORMS ⋮ GEOMETRY OF RELATIVISTIC PARTICLES WITH TORSION ⋮ Unified formalism for higher order non-autonomous dynamical systems

Cites Work

• Massless particle with rigidity as a model for the description of bosons and fermions
• Field theory of paths with a curvature-dependent term
• Quantization of the classical SL(2,R) system and representations of SL(2,R) group
• Singular Lagrangians with higher derivatives
• Lagrangian and Hamiltonian constraints for second-order singular Lagrangians
• Curvature and torsion of the world curve in the action of the relativistic particle
• THE MODEL OF A FREE RELATIVISTIC PARTICLE WITH FRACTIONAL SPIN
• Majorana Representations of the Lorentz Group and Infinite-Component Fields

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