A Mathematical Definition of Path Integrals on Symplectic Manifolds
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911937447591936 |
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| author | Lackman, Joshua |
| author_facet | Lackman, Joshua |
| contents | We give a mathematical definition of some path integrals, emphasizing those relevant to the quantization of symplectic manifolds (and more generally, Poisson manifolds) $\unicode{x2013}$ in particular, the coherent state path integral. We show that Kähler manifolds provide many computable examples and we emphasize those whose Bergman kernel is constant along the diagonal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_14547 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Mathematical Definition of Path Integrals on Symplectic Manifolds Lackman, Joshua Symplectic Geometry High Energy Physics - Theory Mathematical Physics Quantum Algebra We give a mathematical definition of some path integrals, emphasizing those relevant to the quantization of symplectic manifolds (and more generally, Poisson manifolds) $\unicode{x2013}$ in particular, the coherent state path integral. We show that Kähler manifolds provide many computable examples and we emphasize those whose Bergman kernel is constant along the diagonal. |
| title | A Mathematical Definition of Path Integrals on Symplectic Manifolds |
| topic | Symplectic Geometry High Energy Physics - Theory Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2406.14547 |