Confinement in QCD and generic Yang-Mills theories with matter representations

Frasca, Marco; Ghoshal, Anish; Groote, Stefan

doi:10.1016/j.physletb.2023.138209

Confinement in QCD and generic Yang-Mills theories with matter representations

Feb 28, 2022

19 pages

Published in:

Phys.Lett.B 846 (2023) 138209

Published: Sep 28, 2023

e-Print:

2202.14023 [hep-ph]

DOI:

10.1016/j.physletb.2023.138209 (publication)

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Abstract: (Elsevier B.V.)

We derive the low-energy limit of quantum chromodynamics (QCD) and provide evidence that in the 't Hooft limit, i.e. for a very large number of colors and increasing 't Hooft coupling, quark confinement is recovered. The low energy limit of the theory turns out to be a non-local Nambu–Jona-Lasinio (NJL) model. The effect of non-locality, arising from a gluon propagator that fits quite well to the profile of an instanton liquid, is to produce a phase transition from a chiral condensate to an instanton liquid, as the coupling increases with lower momentum. This phase transition suffices to move the poles of the quark propagator to the complex plane. As a consequence, free quarks are no longer physical states in the spectrum of the theory.

Note:

19 pages, 1 figure. Version accepted for publication in Physics Letters B

instanton: liquid
quark: confinement
condensation: chiral
Jona-Lasinio-Nambu model: nonlocal
expansion 1/N: color
gluon: propagator
quark: propagator
energy: low
gauge field theory: Yang-Mills
quantum chromodynamics

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