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
|
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: | 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 |
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