A Sum Rule for Boundary Contributions to the Trace Anomaly
High Energy Physics - Theory
2022-03-28 v2
Abstract
In the context of boundary conformal field theory, we derive a sum rule that relates two and three point functions of the displacement operator. For four dimensional conformal field theory with a three dimensional boundary, this sum rule in turn relates the two boundary contributions to the anomaly in the trace of the stress tensor. We check our sum rule for a variety of free theories and also for a weakly interacting theory, where a free scalar in the bulk couples marginally to a generalized free field on the boundary.
Cite
@article{arxiv.2107.11604,
title = {A Sum Rule for Boundary Contributions to the Trace Anomaly},
author = {Christopher P. Herzog and Vladimir Schaub},
journal= {arXiv preprint arXiv:2107.11604},
year = {2022}
}
Comments
38 pages, 2 figures. v2 : added references; typos corrected, minor simplifications; matches published version