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arXiv · hep-th/9506079

Phase and Scaling Properties of Determinants Arising in Topological Field Theories

David H. Adams·Siddhartha Sen
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Abstract

In topological field theories determinants of maps with negative as well as positive eigenvalues arise. We give a generalisation of the zeta-regularisation technique to derive expressions for the phase and scaling-dependence of these determinants. For theories on odd-dimensional manifolds a simple formula for the scaling dependence is obtained in terms of the dimensions of certain cohomology spaces. This enables a non-perturbative feature of Chern-Simons gauge theory to be reproduced by path-integral methods.

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David H. Adams, Siddhartha Sen. 1995-06-12. Phase and Scaling Properties of Determinants Arising in Topological Field Theories. https://doi.org/10.1016/0370-2693(95)00590-h

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