IR fixed points in $SU(3)$ gauge Theories
High Energy Physics - Lattice
2015-07-21 v2 High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
We propose a novel RG method to specify the location of the IR fixed point in lattice gauge theories and apply it to the gauge theories with fundamental fermions. It is based on the scaling behavior of the propagator through the RG analysis with a finite IR cut-off, which we cannot remove in the conformal field theories in sharp contrast with the confining theories. The method also enables us to estimate the anomalous mass dimension in the continuum limit at the IR fixed point. We perform the program for and and indeed identify the location of the IR fixed points in all cases.
Cite
@article{arxiv.1503.02359,
title = {IR fixed points in $SU(3)$ gauge Theories},
author = {K. -I. Ishikawa and Y. Iwasaki and Yu Nakayama and Y. Yoshie},
journal= {arXiv preprint arXiv:1503.02359},
year = {2015}
}
Comments
7 pages, 7 figures, 1 table: the scale of the y axis in Figs..1-4 change; minor modifications as appear in PLB