Classical Trace Anomaly

Abstract

We seek an analogy of the mathematical form of the alternative form of Einstein's field equations for Lovelock's field equations. We find that the price for this analogy is to accept the existence of the trace anomaly of the energy-momentum tensor even in classical treatments. As an example, we take this analogy to any generic second order Lagrangian and exactly derive the trace anomaly relation suggested by Duff. This indicates that an intrinsic reason for the existence of such a relation should perhaps be, classically, somehow related to the covariance of the form of Einstein's equations.

Version 2: 21 pages, TeX file (using phyzzx.tex), added new section and references. Version 3: Just replaced Abstract

References in corpus (4)

• Twenty Years of the Weyl Anomaly
• Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
• Modified gravity with $\ln R$ terms and cosmic acceleration
• Holographic renormalization group and conformal anomaly for AdS_9/CFT_8 correspondence

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