Pure contact term correlators in CFT
High Energy Physics - Theory
2016-02-10 v3
Abstract
We discuss the case of correlators in CFT made of pure contact terms, without a corresponding bare part. We show two examples. The first is provided by the conformal limits of a free massive fermion theory in 3d. We show that the (conserved) current correlators are in one-to-one correspondence with the terms of the 3d gauge CS action. The second is the Pontryagin trace anomaly. The corresponding 3-point correlator is nonvanishing even though the corresponding untraced correlator vanishes.
Cite
@article{arxiv.1511.06635,
title = {Pure contact term correlators in CFT},
author = {Loriano Bonora and Bruno Lima de Souza},
journal= {arXiv preprint arXiv:1511.06635},
year = {2016}
}
Comments
15 pages. Minor corrections in sec.3.3. Published in Proceedings of the 18th Bled Workshop "What Comes Beyond Standard Models"