Simplified Method for Trace Anomaly Calculations in d=6 and d<6
High Energy Physics - Theory
2009-11-07 v3
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.
Cite
@article{arxiv.hep-th/0104234,
title = {Simplified Method for Trace Anomaly Calculations in d=6 and d<6},
author = {Fiorenzo Bastianelli and N. D. Hari Dass},
journal= {arXiv preprint arXiv:hep-th/0104234},
year = {2009}
}
Comments
8 pages, LaTeX, corrected minor misprints, references added