On the evaluation of the Ray-Singer torsion path integral

Autor: Matthias Blau, Mbambu Kakona, George Thompson
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 6, Pp 1-29 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP06(2024)065
Popis: Abstract 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.
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