### Lattice-motivated holomorphic nearly perturbative QCD

Ayala C, Cvetic G, Kögerler R (2017)
Journal of Physics. G, Nuclear and Particle Physics 44(7): 075001.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

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Autor*in
Ayala, Cesar; Cvetic, Gorazd; Kögerler, ReinhartUniBi
Abstract / Bemerkung
Newer lattice results indicate that, in the Landau gauge at low spacelike momenta, the gluon propagator and the ghost dressing function are finite non-zero. This leads to a definition of the QCD running coupling, in a specific scheme, that goes to zero at low spacelike momenta. We construct a running coupling which fulfills these conditions, and at the same time reproduces to a high precision the perturbative behavior at high momenta. The coupling is constructed in such a way that it reflects qualitatively correctly the holomorphic (analytic) behavior of spacelike observables in the complex plane of the squared momenta, as dictated by the general principles of quantum field theories. Further, we require the coupling to reproduce correctly the nonstrange semihadronic decay rate of tau lepton which is the best measured low-momentum QCD observable with small higher-twist effects. Subsequent application of the Borel sum rules to the V + A spectral functions of tau lepton decays, as measured by OPAL Collaboration, determines the values of the gluon condensate and of the V + A six-dimensional condensate, and reproduces the data to a significantly higher precision than the usual (MS) over bar running coupling.
Stichworte
perturbative QCD; lattice QCD; QCD phenomenology; resummation
Erscheinungsjahr
2017
Zeitschriftentitel
Journal of Physics. G, Nuclear and Particle Physics
Band
44
Ausgabe
7
Art.-Nr.
075001
ISSN
0954-3899
eISSN
1361-6471
Page URI
https://pub.uni-bielefeld.de/record/2912333

### Zitieren

Ayala C, Cvetic G, Kögerler R. Lattice-motivated holomorphic nearly perturbative QCD. Journal of Physics. G, Nuclear and Particle Physics. 2017;44(7): 075001.
Ayala, C., Cvetic, G., & Kögerler, R. (2017). Lattice-motivated holomorphic nearly perturbative QCD. Journal of Physics. G, Nuclear and Particle Physics, 44(7), 075001. doi:10.1088/1361-6471/aa6fdf
Ayala, C., Cvetic, G., and Kögerler, R. (2017). Lattice-motivated holomorphic nearly perturbative QCD. Journal of Physics. G, Nuclear and Particle Physics 44:075001.
Ayala, C., Cvetic, G., & Kögerler, R., 2017. Lattice-motivated holomorphic nearly perturbative QCD. Journal of Physics. G, Nuclear and Particle Physics, 44(7): 075001.
C. Ayala, G. Cvetic, and R. Kögerler, “Lattice-motivated holomorphic nearly perturbative QCD”, Journal of Physics. G, Nuclear and Particle Physics, vol. 44, 2017, : 075001.
Ayala, C., Cvetic, G., Kögerler, R.: Lattice-motivated holomorphic nearly perturbative QCD. Journal of Physics. G, Nuclear and Particle Physics. 44, : 075001 (2017).
Ayala, Cesar, Cvetic, Gorazd, and Kögerler, Reinhart. “Lattice-motivated holomorphic nearly perturbative QCD”. Journal of Physics. G, Nuclear and Particle Physics 44.7 (2017): 075001.

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### Quellen

arXiv: 1608.08240

Inspire: 1484520