Instantons in asymptotically safe and free quantum field theories

Francesco Sannino (CP3-Origins & the Danish Institute for Advanced Study, Campusvej 55, 5230 Odense, Denmark) ; Vedran Skrinjar (International School for Advanced Studies, Via Bonomea 265, 34136 Trieste, Italy)

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 theory. 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 a function of the fermion mass. Finally, for the first time, we extend the instanton calculus to asymptotically safe theories.

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Published on:
26 April 2019
Publisher:
APS
Published in:
Physical Review D , Volume 99 (2019)
Issue 8
DOI:
https://doi.org/10.1103/PhysRevD.99.085010
arXiv:
1802.10372
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: