Infrared features of the Landau gauge QCD

Furui, Sadataka; Nakajima, Hideo

doi:10.1103/PhysRevD.69.074505

Infrared features of the Landau gauge QCD

May, 2003

5 pages

Published in:

Phys.Rev.D 69 (2004) 074505

e-Print:

hep-lat/0305010 [hep-lat]

DOI:

10.1103/PhysRevD.69.074505

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Abstract:

The infrared features of Landau gauge QCD are studied by the lattice simulation of

\beta=6.0, 16^4, 24^4, 32^4

and

\beta=6.4, 32^4, 48^4

. We adopt two definitions of the gauge field: 1)

U-

linear 2)

\log U

and measured the gluon propagator and ghost propagator. Infrared singularity of the gluon propagator is less than that of tree level result but the gluon propagator at 0 momentum remains finite. The infrared singularity of ghost propagator is stronger than the tree level. The QCD running coupling measured by using the gluon propagator and the ghost propagator has a maximum

\alpha_s(p)\simeq 1

at around

p=0.5GeV

and decreases as

p

approaches 0. The data are analyzed in use of formula of the principle of minimal sensitivity(PMS), the effective charge method and the contour-improved perturbation method, which suggest necessity of the resummation of perturbation series in the infrared region together with existence of the infrared fixed point. Kugo-Ojima parameter saturates at about -0.8 in contrast to the theoretically expected value -1.

12.38.Gc
11.15.Tk
11.15.Ha
gauge field theory: SU(3)
lattice field theory
Landau gauge
infrared problem
gluon: propagator
ghost: propagator
correlation: long-range

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