Classical Trace Anomaly

Details Classical Trace Anomaly Classical Trace Anomaly

1995-11-16

arxiv.org/abs/gr-qc/9511047v3

Int.J.Mod.Phys. D14 (2005) 1233

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1142/S0218271805006730

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.

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