Dimensional-reduction anomaly in spherically symmetric spacetimes

Sutton, Patrick J. ORCID: https://orcid.org/0000-0003-1614-3922 2000. Dimensional-reduction anomaly in spherically symmetric spacetimes. Physical Review D 62 (4) , 044033. 10.1103/PhysRevD.62.044033

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Abstract

In D-dimensional spacetimes which can be foliated by n-dimensional homogeneous subspaces, a quantum field can be decomposed in terms of modes on the subspaces, reducing the system to a collection of (D-n)-dimensional fields. This allows one to write bare D-dimensional field quantities like the Green function and the effective action as sums of their (D-n)-dimensional counterparts in the dimensionally reduced theory. It has been shown, however, that renormalization breaks this relationship between the original and dimensionally reduced theories, an effect called the dimensional-reduction anomaly. We examine the dimensional-reduction anomaly for the important case of spherically symmetric spaces.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Subjects:	Q Science > QB Astronomy
Publisher:	American Physical Society
ISSN:	0556-2821
Last Modified:	13 Jan 2023 03:22
URI:	https://orca.cardiff.ac.uk/id/eprint/35961

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