A Lagrangian formulation of the classical and quantum dynamics of spinning particles

  title={A Lagrangian formulation of the classical and quantum dynamics of spinning particles},
  author={Lars Brink and Paolo Di Vecchia and P. S. Howe},
  journal={Nuclear Physics},
Quantum theory of a massless spinning particle
The classical and quantum mechanics of a free massless point-like fermion is presented. The action is invariant under local 1-dimensional reparametrizations and supersymmetry, as well as a large set
On the gauge symmetries of the spinning particle
We reconsider the gauge symmetries of the spinning particle by a direct examination of the Lagrangian using a systematic procedure based on the Noether identities. It proves possible to find a set of
Quantization and spacetime topology
We consider classical and quantum dynamics of a free particle in de Sitter's spacetimes with different topologies to see what happens to spacetime singularities of removable type in quantum theory.
Relativistic particle dynamics in D = 2+1
We propose a SUSY variant of the action for a massless spinning particles via the inclusion of twistor variables. The action is constructed to be invariant under SUSY transformations and
Classical and quantum mechanics of relativistic particles
It is shown that the standard actions of relativistic point-like particles are adapted within the corresponding interpretation to describe particle and antiparticle at the same time. The special
Kaluza-Klein approach to the motion of non-Abelian charged particles with spin
The equations of motion for charged spinning particles in a background of gravitational and Yang-Mills fields are derived within the Kaluza-Klein framework, using Grassmannian variables to describe
Quantization of a spinning particle with anomalous magnetic moment
A generalization of the pseudoclassical action of a spinning particle in the presence of an anomalous magnetic moment is given. The leading considerations, to write the action, are gotten from the
Quantization of a spinning particle in an arbitrary background
This paper is a natural continuation of the papers by Gavrilov and Gitman (2000 Class. Quantum Grav. 17 L133, 2000 Int. J. Mod. Phys. A 15 4499) devoted to relativistic particle quantization. Here we


Properties of Supergravity Theory
The commutator algebra of the recently proposed supergravity theory is elucidated. Several equivalent forms of the spin-3/2 field equations are derived for this purpose. It is also argued that this