A Non-Renormalization Theorem in Gapped Quantum Field Theory
High Energy Physics - Theory
2015-06-15 v2
Abstract
We discuss the two-point functions of the U(1) current and energy-momentum tensor in certain gapped three-dimensional field theories, and show that the parity-odd part in both of these correlation functions is one-loop exact. In particular, we find a new and simplified derivation of the Coleman-Hill theorem that also clarifies several subtleties in the original argument. For the energy momentum tensor, our result means that the gravitational Chern-Simons term for the background metric does not receive quantum corrections
Cite
@article{arxiv.1302.3630,
title = {A Non-Renormalization Theorem in Gapped Quantum Field Theory},
author = {Tomer Shacham},
journal= {arXiv preprint arXiv:1302.3630},
year = {2015}
}
Comments
9 pages, v2: typos corrected, discussion added