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Four approaches to quantization of the relativistic particle

1998/06/12 by Giulio Ruffini, Ruffini, Giulio
Physics and Astronomy · #Crystallography and Radiation Phenomena #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Radioactive Decay and Measurement Techniques #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9806058

27 pages, 0 figures

arxiv created 1998/06/12 · openalex publication_date 1998/06/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The connection between four different approaches to quantization of the relativistic particle is studied: reduced phase space quantization, Dirac quantization, BRST quantization, and (BRST)-Fock quantization are each carried out. The connection to the BFV path integral in phase space is provided. In particular, it is concluded that that the full range of the lapse should be used in such path integrals. The relationship between all these approaches is established.

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