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Phys. Rev. D 64, 047701 (2001) [4 pages]

Simplified method for trace anomaly calculations in d<~6

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Fiorenzo Bastianelli*
Dipartimento di Fisica, Università di Bologna and INFN, Sezione di Bologna via Irnerio 46, I-40126 Bologna, Italy

N. D. Hari Dass
Institute of Mathematical Sciences, C.I.T. Campus, Chennai 600 113, India

Received 2 May 2001; published 6 July 2001

We discuss a simplified method for computing trace anomalies in dimensions d<~6. It is known that in the quantum mechanical approach trace anomalies in d dimensions are given by a (d/2+1)-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 (d/2+1)-loop calculation on the simplified geometry of a maximally symmetric space.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.64.047701
DOI:
10.1103/PhysRevD.64.047701
PACS:
11.10.Kk, 03.65.Db, 04.62.+v

*Email address: bastianelli@bo.infn.it

Email address: dass@imsc.ernet.in