A hidden constraint on the Hamiltonian formulation of relativistic worldlines

Autor: Benjamin Koch, Enrique Muñoz
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 79, Iss 11, Pp 1-6 (2019)
Druh dokumentu: article
ISSN: 1434-6044
1434-6052
DOI: 10.1140/epjc/s10052-019-7459-z
Popis: Abstract Gauge theories with general covariance are particularly reluctant to quantization. We discuss the example of the Hamiltonian formulation of the relativistic point particle that, despite its apparent simplicity, is of crucial importance since a number of point particle systems can be cast into this form on a higher dimensional Rindler background, as recently pointed out by Hojman. It is shown that this system can be equipped with a hidden local, symmetry generating, constraint which on the one hand does not bother the classical evolution and on the other hand simplifies the realization of the path integral quantization. Even though the positive impact of the hidden symmetry is more evident in the Lagrangian version of the theory, it is still present through the suggested Hamiltonian constraint.
Databáze: Directory of Open Access Journals
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