The University of Southampton
University of Southampton Institutional Repository
Warning ePrints Soton is experiencing an issue with some file downloads not being available. We are working hard to fix this. Please bear with us.

Comments on scale and conformal invariance

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
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), 1-40. (doi:10.1007/JHEP08(2014)027).

Record type: Article

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
Available under License Creative Commons Attribution.
Download (405kB)
Text
art%3A10.1007%2FJHEP08%282014%29027.pdf - Version of Record
Available under License Creative Commons Attribution.
Download (796kB)

More information

Accepted/In Press date: 22 July 2014
Published date: 6 August 2014
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 391639
URI: http://eprints.soton.ac.uk/id/eprint/391639
PURE UUID: 9eaf4926-f1d0-4608-b7e5-b213f6892818
ORCID for Kostas Skenderis: ORCID iD orcid.org/0000-0003-4509-5472

Catalogue record

Date deposited: 24 May 2016 14:07
Last modified: 21 Nov 2021 03:06

Export record

Altmetrics

Contributors

Author: Adam Bzowski

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×