The stepwise path integral of the relativistic point particle

Abstract In this paper we present a stepwise construction of the path integral over relativistic orbits in Euclidean spacetime. It is shown that the apparent problems of this path integral, like the breakdown of the naive Chapman–Kolmogorov relation, can be solved by a careful analysis of the overco...

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Bibliographic Details
Main Authors: Benjamin Koch, Enrique Muñoz
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-5753-9