Renormalised 3-point functions of stress tensors and conserved currents in CFT

Bzowski, Adam; McFadden, Paul; Skenderis, Kostas

Abstract

We present a complete momentum-space prescription for the renormalisation of tensorial correlators in conformal field theories. Our discussion covers all 3-point functions of stress tensors and conserved currents in arbitrary spacetime dimensions. In dimensions three and four, we give explicit results for the renormalised correlators, the anomalous Ward identities they obey, and the conformal anomalies. For the stress tensor 3-point function in four dimensions, we identify the specific evanescent tensorial structure responsible for the type A Euler anomaly, and show this anomaly has the form of a double copy of the chiral anomaly.

Citation

Bzowski, A., McFadden, P., & Skenderis, K. (2018). Renormalised 3-point functions of stress tensors and conserved currents in CFT. Journal of High Energy Physics, 2018(11), Article 153. https://doi.org/10.1007/jhep11%282018%29153

• Journal Article Type: Article
• Acceptance Date: Oct 21, 2018
• Online Publication Date: Nov 23, 2018
• Publication Date: Nov 23, 2018
• Deposit Date: Dec 6, 2017
• Publicly Available Date: Dec 4, 2018
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2018
• Issue: 11
• Article Number: 153
• DOI: https://doi.org/10.1007/jhep11%282018%29153
• Public URL: https://durham-repository.worktribe.com/output/1343335
• Related Public URLs: https://arxiv.org/abs/1711.09105