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arXiv · 1912.08179

Path integral quantization of a spinning particle

Jerzy Kowalski-Glikman·Giacomo Rosati
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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.

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Jerzy Kowalski-Glikman, Giacomo Rosati. 2019-12-17. Path integral quantization of a spinning particle. https://doi.org/10.1103/physrevd.101.065003

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