# Nearly perturbative lattice-motivated QCD coupling with zero IR limit

Ayala C, Cvetic G, Kögerler R, Kondrashuk I (2018) *Journal of Physics G: Nuclear and Particle Physics* 45(3): 035001.

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Abstract

The product of the gluon dressing function and the square of the ghost
dressing function in the Landau gauge can be regarded to represent, apart from
the inverse power corrections 1/Q^{2n}, a nonperturbative generalization A(Q^2)
of the perturbative QCD running coupling a(Q^2)=alpha_s(Q^2)/pi. Recent large
volume lattice calculations for these dressing functions strongly indicate that
such a generalized coupling goes to zero as A(Q^2)~Q^2 when the squared momenta
Q^2 go to zero (Q^2<<1 GeV^2). In this work we construct such a QCD coupling
A(Q^2) which fulfills also various other physically motivated conditions. At
high momenta it becomes the underlying perturbative coupling a(Q^2) to a very
high precision. And at intermediate low squared momenta Q^2~1 GeV^2 it gives
results consistent with the data of the semihadronic tau lepton decays as
measured by OPAL and ALEPH. The coupling is constructed in a dispersive way,
ensuring as a byproduct the holomorphic behavior of A(Q^2) in the complex
Q^2-plane which reflects the holomorphic behavior of the spacelike QCD
observables. Application of the Borel sum rules to tau-decay V+A spectral
functions allows us to obtain values for the gluon (dimension-4) condensate and
the dimension-6 condensate, which reproduce the measured OPAL and ALEPH data to
a significantly better precision than the perturbative MSbar coupling approach.

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Ayala C, Cvetic G, Kögerler R, Kondrashuk I. Nearly perturbative lattice-motivated QCD coupling with zero IR limit.

*Journal of Physics G: Nuclear and Particle Physics*. 2018;45(3): 035001.Ayala, C., Cvetic, G., Kögerler, R., & Kondrashuk, I. (2018). Nearly perturbative lattice-motivated QCD coupling with zero IR limit.

*Journal of Physics G: Nuclear and Particle Physics*,*45*(3), 035001. doi:10.1088/1361-6471/aa9eccAyala, C., Cvetic, G., Kögerler, R., and Kondrashuk, I. (2018). Nearly perturbative lattice-motivated QCD coupling with zero IR limit.

*Journal of Physics G: Nuclear and Particle Physics*45:035001.Ayala, C., et al., 2018. Nearly perturbative lattice-motivated QCD coupling with zero IR limit.

*Journal of Physics G: Nuclear and Particle Physics*, 45(3): 035001. C. Ayala, et al., “Nearly perturbative lattice-motivated QCD coupling with zero IR limit”,

*Journal of Physics G: Nuclear and Particle Physics*, vol. 45, 2018, : 035001. Ayala, C., Cvetic, G., Kögerler, R., Kondrashuk, I.: Nearly perturbative lattice-motivated QCD coupling with zero IR limit. Journal of Physics G: Nuclear and Particle Physics. 45, : 035001 (2018).

Ayala, Cesar, Cvetic, Gorazd, Kögerler, Reinhart, and Kondrashuk, Igor. “Nearly perturbative lattice-motivated QCD coupling with zero IR limit”.

*Journal of Physics G: Nuclear and Particle Physics*45.3 (2018): 035001.
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