Path integral quantization of a spinning particle

Abstract

Following the idea of Alekseev and Shatashvili we derive the path integral quantization of a modified relativistic particle action that results in the Feynman propagator of a free field with arbitrary spin. This propagator can be associated with the Duffin, Kemmer, and Petiau (DKP) form of a free field theory. We show explicitly that the obtained DKP propagator is equivalent to the standard one, for spins 0 and 1. We argue that this equivalence holds also for higher spins.

References in corpus (9)

• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• Remarks on Duffin-Kemmer-Petiau theory and gauge invariance
• The Quantum Deformed Dirac Equation from the k-Poincare` Algebra
• Dirac spinors for Doubly Special Relativity and $\kappa$-Minkowski noncommutative spacetime
• Particles as Wilson lines of gravitational field
• The Theory of Metaparticles
• Lagrangian Models of the Particles with Spin: The First Seventy Years
• A short introduction to $\kappa$-deformation
• A Classical and Spinorial Description of the Relativistic Spinning Particle

Cited by in corpus (1)

• Comment on "Chern-Simons theory and atypical Hall conductivity in the Varma phase''