Dimensional-reduction anomaly

Frolov, V., Sutton, Patrick J. ORCID: https://orcid.org/0000-0003-1614-3922 and Zelnikov, A. 1999. Dimensional-reduction anomaly. Physical Review D 61 (2) , 024021. 10.1103/PhysRevD.61.024021

Full text not available from this repository.

Abstract

In a wide class of D-dimensional spacetimes which are direct or semi-direct sums of a (D-n)-dimensional space and an n-dimensional homogeneous “internal” space, a field can be decomposed into modes. As a result of this mode decomposition, the main objects which characterize the free quantum field, such as Green functions and heat kernels, can effectively be reduced to objects in a (D-n)-dimensional spacetime with an external dilaton field. We study the problem of the dimensional reduction of the effective action for such spacetimes. While before renormalization the original D-dimensional effective action can be presented as a “sum over modes” of (D-n)-dimensional effective actions, this property is violated after renormalization. We calculate the corresponding anomalous terms explicitly, illustrating the effect with some simple examples.

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/35962

Citation Data

Cited 36 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item