A hidden constraint on the Hamiltonian formulation of relativistic worldlines
| Autor: | Enrique Muñoz, Benjamin Koch |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
High Energy Physics - Theory Physics and Astronomy (miscellaneous) Point particle FOS: Physical sciences lcsh:Astrophysics Covariance Theoretical physics symbols.namesake Quantization (physics) Hamiltonian constraint High Energy Physics - Theory (hep-th) General covariance Path integral formulation lcsh:QB460-466 symbols lcsh:QC770-798 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Gauge theory Hamiltonian (quantum mechanics) Engineering (miscellaneous) |
| Zdroj: | European Physical Journal C: Particles and Fields, Vol 79, Iss 11, Pp 1-6 (2019) European Physical Journal |
| ISSN: | 1434-6052 1434-6044 |
| Popis: | 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: | OpenAIRE |
| Externí odkaz: |
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