Conformal Anomaly for Free Scalar Propagation on Curved Bounded Manifolds

Abstract

The trace anomaly for free propagation in the context of a conformally invariant scalar field theory defined on a curved manifold of positive constant curvature with boundary is evaluated through use of an asymptotic heat kernel expansion. In addition to their direct physical significance the results are also of relevance to the holographic principle and to Quantum Cosmology.

8 pages. To appear in General Relativity and Gravitation

References in corpus (4)

• Radiative Contributions to the Effective Action of Self-Interacting Scalar Field on a Manifold with Boundary
• Perturbative Evaluation of the Zero-Point function for Self-Interacting Scalar Field on a Manifold with Boundary
• Spherical Formulation for Diagramatic Evaluations on a Manifold with Boundary
• Perturbative Evaluation of Interacting Scalar Fields on a Curved Manifold with Boundary

Cited by in corpus (1)

• A Non-Singular One-Loop Wave Function of the Universe From a New Eigenvalue Asymptotics in Quantum Gravity