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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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/aa9ecc
Ayala, 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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