On the Evaluation of the Ray-Singer Torsion Path Integral
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911782008782848 |
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| author | Blau, Matthias Kakona, Mbambu Thompson, George |
| author_facet | Blau, Matthias Kakona, Mbambu Thompson, George |
| contents | There are very few explicit evaluations of path integrals for topological gauge theories in more than 3 dimensions. Here we provide such a calculation for the path integral representation of the Ray-Singer Torsion of a flat connection on a vector bundle on base manifolds that are themselves $S^{1}$ bundles of any dimension. The calculation relies on a suitable algebraic choice of gauge which leads to a convenient factorisation of the path integral into horizontal and vertical parts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14437 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Evaluation of the Ray-Singer Torsion Path Integral Blau, Matthias Kakona, Mbambu Thompson, George High Energy Physics - Theory Geometric Topology There are very few explicit evaluations of path integrals for topological gauge theories in more than 3 dimensions. Here we provide such a calculation for the path integral representation of the Ray-Singer Torsion of a flat connection on a vector bundle on base manifolds that are themselves $S^{1}$ bundles of any dimension. The calculation relies on a suitable algebraic choice of gauge which leads to a convenient factorisation of the path integral into horizontal and vertical parts. |
| title | On the Evaluation of the Ray-Singer Torsion Path Integral |
| topic | High Energy Physics - Theory Geometric Topology |
| url | https://arxiv.org/abs/2402.14437 |