Safe and free instantons
High Energy Physics - Theory
2019-05-01 v1 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Theory
Abstract
We investigate the instanton dynamics of asymptotically safe and free quantum field theories featuring respectively controllable ultraviolet and infrared fixed points. We start by briefly reviewing the salient points about the instanton calculus for pure Yang Mills (YM) and QCD. We then move on to determine the role of instantons within the controllable regime of the QCD conformal window. In this region we add a fermion-mass operator and determine the density of instantons per unit volume as function of the fermion mass. Finally, for the first time, we extend the instanton calculus to asymptotically safe theories.
Keywords
Cite
@article{arxiv.1802.10372,
title = {Safe and free instantons},
author = {Francesco Sannino and Vedran Skrinjar},
journal= {arXiv preprint arXiv:1802.10372},
year = {2019}
}
Comments
34 pages, 15 figures