Path integral quantization of a spinning particle
High Energy Physics - Theory
2020-03-18 v1 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.1912.08179,
title = {Path integral quantization of a spinning particle},
author = {Jerzy Kowalski-Glikman and Giacomo Rosati},
journal= {arXiv preprint arXiv:1912.08179},
year = {2020}
}