The Renormalization Group and Weyl-invariance
High Energy Physics - Theory
2015-03-18 v1 General Relativity and Quantum Cosmology
Abstract
We consider matter fields conformally coupled to a background metric and dilaton and describe in detail a quantization procedure and related renormalization group flow that preserve Weyl invariance. Even though the resulting effective action is Weyl-invariant, the trace anomaly is still present, with all its physical consequences. We discuss first the case of free matter and then extend the result to interacting matter. We also consider the case when the metric and dilaton are dynamical and gravitons enter in the loops.
Cite
@article{arxiv.1210.3284,
title = {The Renormalization Group and Weyl-invariance},
author = {A. Codello and G. D'Odorico and C. Pagani and R. Percacci},
journal= {arXiv preprint arXiv:1210.3284},
year = {2015}
}
Comments
32 pages, 3 figures