Gluon Green functions free of Quantum fluctuations

Abstract

This letter reports on how the Wilson flow technique can efficaciously kill the short-distance quantum fluctuations of 2- and 3-gluon Green functions, removes the ${\Lambda }_{\mathrm{QCD}}$ scale and destroys the transition from the confining non-perturbative to the asymptotically-free perturbative sector. After the Wilson flow, the behavior of the Green functions with momenta can be described in terms of the quasi-classical instanton background. The same behavior also occurs, before the Wilson flow, at low-momenta. This last result permits applications as, for instance, the detection of instanton phenomenological properties or a cheap lattice calibration.

5 pages, 3 figures

References in corpus (4)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Infinite N phase transitions in continuum Wilson loop operators
• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• Lectures on instantons

Cited by in corpus (12)

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• Renormalon-motivated evaluation of QCD observables
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• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?
• Instanton dominance over ${\alpha }_s$ at low momenta from lattice QCD simulations at $N_f=0$, $N_f=2+1$ and $N_f=2+1+1$
• On the zero-crossing of the three-gluon Green's function from lattice simulations