Anomalies and Analytic Torsion on Hyperbolic Manifolds

Details Anomalies and Analytic Torsion on Hyperbolic Manifolds Anomalies and Analytic Torsion on Hyperbolic Manifolds

1999-01-13

arxiv.org/abs/hep-th/9901054v1

J.Math.Phys. 40 (1999) 4119-4133

Physics

High Energy Physics

High Energy Physics - Theory

AMSTeX file, 20 pages

Scientific paper

The global additive and multiplicative properties of the Laplacian on j-forms
and related zeta functions are analyzed. The explicit form of zeta functions on
a product of closed oriented hyperbolic manifolds \Gamma\backslash{\Bbb H}^d
and of the multiplicative anomaly are derived. We also calculate in an explicit
form the analytic torsion associated with a connected sum of such manifolds.

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