On the Evaluation of the Ray-Singer Torsion Path Integral
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911782008782848 |
|---|---|
| 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 |