TL;DR
This paper explores instanton dynamics in asymptotically safe and free quantum field theories, analyzing their role in the conformal window and extending instanton calculus to new regimes.
Contribution
It introduces the first extension of instanton calculus to asymptotically safe theories and examines instanton effects in the conformal window with fermion mass dependence.
Findings
Instanton density varies with fermion mass in the conformal window.
Extended instanton calculus to asymptotically safe theories.
Insights into instanton roles in UV and IR fixed points.
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.
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