Lagrangian Models of the Particles with Spin: The First Seventy Years

Abstract

We briefly review models of relativistic particles with spin. Departing from the oldest attempts to describe the spin within the lagrangian framework we pass through various non supersymmetric models. Then the component and superfield formulations of the spinning particle and superparticle models are reviewed. Our focus is mainly on the classical side of the problem, but some quantization questions are mentioned as well.

plain LaTeX, 25 pages. To appear in "From Field Theory to Quantum Groups" World Scientific, proceedings to honour J.Lukierski in his 60th birthday

References in corpus (2)

• On $q$-Deformed Spinning Relativistic Particle
• A Covariant Formulation of Classical Spinning Particle

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• Hidden supersymmetry and Berezin quantization of N=2, D=3 spinning superparticles
• SU(2) reductions in N=4 multidimensional supersymmetric mechanics
• Geometrical model of massive spinning particle in four-dimensional Minkowski space
• Manifestly Covariant Lagrangians, Classical Particles with Spin, and the Origins of Gauge Invariance
• Nilpotent Fuzz
• Motion of Spin 1/2 Massive Particle in a Curved Spacetime
• Path integral quantization of a spinning particle
• Variational Principles for Constrained Electromagnetic Field and Papapetrou Equation