Renormalization group coefficients and the S-matrix
High Energy Physics - Theory
2017-01-31 v2
Abstract
We show how to use on-shell unitarity methods to calculate renormalization group coefficients such as beta functions and anomalous dimensions. The central objects are the form factors of composite operators. Their discontinuities can be calculated via phase-space integrals and are related to corresponding anomalous dimensions. In particular, we find that the dilatation operator, which measures the anomalous dimensions, is given by minus the phase of the S-matrix divided by pi. We illustrate our method using several examples from Yang-Mills theory, perturbative QCD and Yukawa theory at one-loop level and beyond.
Cite
@article{arxiv.1607.06448,
title = {Renormalization group coefficients and the S-matrix},
author = {Simon Caron-Huot and Matthias Wilhelm},
journal= {arXiv preprint arXiv:1607.06448},
year = {2017}
}
Comments
25 pages, 4 figures; v2: explanations improved, references added, matches journal version