A Lagrangian Formulation of the Classical and Quantum Dynamics of Spinning Particles
Oct, 197619 pages
Published in:
- Nucl.Phys.B 118 (1977) 76-94
- Published: 1977
Report number:
- NBI-HE-76-8
View in:
Citations per year
Abstract: (Elsevier)
A spinning particle is described in terms of its position φ μ ( τ ) and of an additional spin degree of freedom ψ μ ( τ ) which is an odd element of a Grassmann algebra. Its motion is described by an action which is invariant under both general reparametrizations and local supergauge transformations. For a particular realization of the canonical commutation relations we obtain a first quantized version of the Dirac equation in an analogous fashion to the way that the Klein-Gordon equation arises from the line element Lagrangian for a spinless particle. This procedure is extended to include internal symmetries and in this case the physical states turn out to be singlets under the group.- FIELD THEORY: CLASSICAL
- FIELD THEORY: MASSLESS
- PARTICLE: SPINLESS
- GAUGE FIELD THEORY: SUPERSYMMETRY
- SPIN
- ALGEBRA: GRASSMANN
- GAUGE FIELD THEORY: QUANTIZATION
- GAUGE FIELD THEORY: COMMUTATION RELATIONS
- FERMION: COMMUTATION RELATIONS
- BOSON: COMMUTATION RELATIONS
References(8)
Figures(0)