Twenty Years of the Weyl Anomaly

Details Twenty Years of the Weyl Anomaly Twenty Years of the Weyl Anomaly

1993-08-16

arxiv.org/abs/hep-th/9308075v1

Class.Quant.Grav.11:1387-1404,1994

Physics

High Energy Physics

High Energy Physics - Theory

43 pages

Scientific paper

10.1088/0264-9381/11/6/004

In 1973 two Salam prot\'{e}g\'{e}s (Derek Capper and the author) discovered that the conformal invariance under Weyl rescalings of the metric tensor $g_{\mu\nu}(x)\rightarrow\Omega^2(x)g_{\mu\nu}(x)$ displayed by classical massless field systems in interaction with gravity no longer survives in the quantum theory. Since then these Weyl anomalies have found a variety of applications in black hole physics, cosmology, string theory and statistical mechanics. We give a nostalgic review. (Talk given at the {\it Salamfest}, ICTP, Trieste, March 1993.)

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