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Simplified Method for Trace Anomaly Calculations in d=6 and d<6

Fiorenzo Bastianelli·N. D. Hari Dass
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Abstract

We discuss a simplified method for computing trace anomalies in d=6 and d<6 dimensions. It is known that in the quantum mechanical approach trace anomalies in d dimensions are given by a (1+d/2)-loop computation in an auxiliary 1d sigma model with arbitrary geometry. We show how one can obtain the same information using a simpler d/2-loop calculation on an arbitrary geometry supplemented by a (1+d/2)-loop calculation on the simplified geometry of a maximally symmetric space.

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Fiorenzo Bastianelli, N. D. Hari Dass. 2001-06-23. Simplified Method for Trace Anomaly Calculations in d=6 and d<6. https://doi.org/10.1103/physrevd.64.047701

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