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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5753-9 |
| _version_ | 1828356148838793216 |
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| author | Benjamin Koch Enrique Muñoz |
| author_facet | Benjamin Koch Enrique Muñoz |
| author_sort | Benjamin Koch |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T02:53:44Z |
| format | Article |
| id | doaj.art-7936002af2ae4c46915eabd587745d3f |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-04-14T02:53:44Z |
| publishDate | 2018-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-7936002af2ae4c46915eabd587745d3f2022-12-22T02:16:11ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-04-0178411110.1140/epjc/s10052-018-5753-9The stepwise path integral of the relativistic point particleBenjamin Koch0Enrique Muñoz1Instituto de Física, Pontificia Universidad Católica de ChileInstituto de Física, Pontificia Universidad Católica de ChileAbstract 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.http://link.springer.com/article/10.1140/epjc/s10052-018-5753-9 |
| spellingShingle | Benjamin Koch Enrique Muñoz The stepwise path integral of the relativistic point particle European Physical Journal C: Particles and Fields |
| title | The stepwise path integral of the relativistic point particle |
| title_full | The stepwise path integral of the relativistic point particle |
| title_fullStr | The stepwise path integral of the relativistic point particle |
| title_full_unstemmed | The stepwise path integral of the relativistic point particle |
| title_short | The stepwise path integral of the relativistic point particle |
| title_sort | stepwise path integral of the relativistic point particle |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-5753-9 |
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