The Conformal Anomaly in General Rank 1 Symmetric Spaces and Associated Operator Product

Abstract

We compute the one-loop effective action and the conformal anomaly associated with the product ${⨂}_p{\mathcal{L}}_p$ of the Laplace type operators ${\mathcal{L}}_p,p=1,2$, acting in irreducible rank 1 symmetric spaces of non-compact type. The explicit form of the zeta functions and the conformal anomaly of the stress-energy momentum tensor is derived.

10 pages, LaTeX

References in corpus (3)

• Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue
• Trace anomaly induced effective action for 2D and 4D dilaton coupled scalars
• Product Einstein Manifolds, Zeta-Function Regularization and the Multiplicative Anomaly

Cited by in corpus (5)

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• Anomalies and Analytic Torsion on Hyperbolic Manifolds