Comments on scale and conformal invariance
Comments on scale and conformal invariance
There has been recent interest in the question of whether four dimensional scale invariant unitary quantum field theories are actually conformally invariant. In this note we present a complete analysis of possible scale anomalies in correlation functions of the trace of the stress-energy tensor in such theories. We find that 2-, 3- and 4-point functions have a non-trivial anomaly while connected higher point functions are non-anomalous. We pay special attention to semi-local contributions to correlators (terms with support on a set containing both coincident and separated points) and show that the anomalies in 3- and 4-point functions can be accounted for by such contributions. We discuss the implications of the our results for the question of scale versus conformal invariance.
1-40
Bzowski, Adam
89bef061-563e-4b14-ac4d-0418692e9992
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
6 August 2014
Bzowski, Adam
89bef061-563e-4b14-ac4d-0418692e9992
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Bzowski, Adam and Skenderis, Kostas
(2014)
Comments on scale and conformal invariance.
Journal of High Energy Physics, 2014 (27), .
(doi:10.1007/JHEP08(2014)027).
Abstract
There has been recent interest in the question of whether four dimensional scale invariant unitary quantum field theories are actually conformally invariant. In this note we present a complete analysis of possible scale anomalies in correlation functions of the trace of the stress-energy tensor in such theories. We find that 2-, 3- and 4-point functions have a non-trivial anomaly while connected higher point functions are non-anomalous. We pay special attention to semi-local contributions to correlators (terms with support on a set containing both coincident and separated points) and show that the anomalies in 3- and 4-point functions can be accounted for by such contributions. We discuss the implications of the our results for the question of scale versus conformal invariance.
Text
1402.3208v4.pdf
- Accepted Manuscript
Text
art%3A10.1007%2FJHEP08%282014%29027.pdf
- Version of Record
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Accepted/In Press date: 22 July 2014
Published date: 6 August 2014
Organisations:
Applied Mathematics
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Local EPrints ID: 391639
URI: http://eprints.soton.ac.uk/id/eprint/391639
PURE UUID: 9eaf4926-f1d0-4608-b7e5-b213f6892818
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Date deposited: 24 May 2016 14:07
Last modified: 15 Mar 2024 03:41
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Author:
Adam Bzowski
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