vix.ing · top · new · best · stats · spec

Path integrals for the relativistic particle: Some conceptual and\n pedagogical comments

2019/01/15 by Τ. Padmanabhan, T. Padmanabhan, Padmanabhan, T.
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect

paper · pdf · doi:10.48550/arxiv.1901.05008

openalex publication_date 2019/01/15 · openalex created_date 2022/07/30 · openalex updated_date 2026/07/28

Abstract

In my textbook on Quantum Field Theory citetpqft and in a recent paper\n citetpejc2018, I advocated a lattice regularization procedure for defining\nthe path integral for the relativistic particle, using the non-quadratic action\ncontaining a square root. I also provided an interpretation of this result in\nterms of the Jacobi action principle. This note clarifies several conceptual\nand pedagogical issues related to this approach and highlights some interesting\nopen questions which this result leads to.\n

Related