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Article overview
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Lattice-motivated holomorphic nearly perturbative QCD | Cesar Ayala
; Gorazd Cvetic
; Reinhart Kogerler
; | Date: |
3 Sep 2016 | Abstract: | Newer lattice results indicate that, in the Landau gauge at low spacelike
momenta, the gluon propagator and the ghost dressing function are finite
nonzero. 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 negligible 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 6-dimensional condensate, and reproduces the data to
a significantly higher precision that the usual MSbar running coupling. | Source: | arXiv, 1608.8240 | Services: | Forum | Review | PDF | Favorites |
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