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

@article{Brink1977ALF, 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}, year={1977}, volume={118}, pages={76-94} }

## 341 Citations

Quantum theory of a massless spinning particle

- Physics
- 1988

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

- Physics
- 2014

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

- Physics, Mathematics
- 2002

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

- Physics
- 2006

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

- Physics
- 1990

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

- Physics
- 1991

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

- Physics
- 1992

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

- Physics
- 2001

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…

## References

SHOWING 1-5 OF 5 REFERENCES

Properties of Supergravity Theory

- Physics
- 1976

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…