Conformal Phase Diagram of Complete Asymptotically Free Theories
High Energy Physics - Theory
2017-10-18 v1 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
We investigate the ultraviolet and infrared fixed point structure of gauge-Yukawa theories featuring a single gauge coupling, Yukawa coupling and scalar self coupling. Our investigations are performed using the two loop gauge beta function, one loop Yukawa beta function and one loop scalar beta function. We provide the general conditions that the beta function coefficients must abide for the theory to be completely asymptotically free while simultaneously possessing an infrared stable fixed point. We also uncover special trajectories in coupling space along which some couplings are both asymptotically safe and infrared conformal.
Keywords
Cite
@article{arxiv.1605.04712,
title = {Conformal Phase Diagram of Complete Asymptotically Free Theories},
author = {Claudio Pica and Thomas A. Ryttov and Francesco Sannino},
journal= {arXiv preprint arXiv:1605.04712},
year = {2017}
}
Comments
28 pages, 5 figures