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 overcounting associated with local and global symmetries. Based on this, the direct calculation of the quantum propagator of the relativistic point particle in the path integral formulation results from a simple and purely geometric construction. paperpitch https://www.youtube.com/watch?v=tNMbCgPbq2A

10 pages, 5 figures,

References in corpus (4)

• A short review on Noether's theorems, gauge symmetries and boundary terms
• Superpositions of Probability Distributions
• Superstatistics approach to path integral for a relativistic particle
• Symmetries of relativistic world-lines

Cited by in corpus (3)

• Non-perturbative Quantum Propagators in Bounded Spaces
• Path integral of the relativistic point particle in Minkowski space
• A hidden constraint on the Hamiltonian formulation of relativistic worldlines