Conformal Anomaly for Non-Conformal Scalar Fields

Abstract

We give a general definition of the conformal anomaly for theories that are not classically Weyl invariant and show that this definition yields a quantity that is both finite and local. As an example we study the conformal anomaly for a non-minimally coupled massless scalar and show that our definition coincides with results obtained using the heat kernel method.

arXiv comment9 pages

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• Universal definition of the non-conformal trace anomaly
• Analysis of Unitarity in Conformal Quantum Gravity
• Odd dimensional analogue of the Euler characteristic
• Unveiling horizons in quantum critical collapse
• Holographic Anomalous Current at a Finite Temperature
• Enhancement of Anomalous Boundary Current by High Temperature
• The Weyl anomaly in interacting quantum field theory on curved spacetimes