The Infrared behavior of gluon and ghost propagators in Landau gauge QCD

May, 1997
4 pages
Published in:
  • Phys.Rev.Lett. 79 (1997) 3591-3594
e-Print:
Report number:
  • ANL-PHY-8683-TH-97,
  • UNITU-THEP-7-1997,
  • TU-GK-97-002

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199720042011201820250102030
Abstract:
A solvable systematic truncation scheme for the Dyson-Schwinger equations of Euclidean QCD in Landau gauge is presented. It implements the Slavnov-Taylor identities for the three-gluon and ghost-gluon vertices, whereas irreducible four-gluon couplings as well as the gluon-ghost and ghost-ghost scattering kernels are neglected. The infrared behavior of gluon and ghost propagators is obtained analytically: The gluon propagator vanishes for small spacelike momenta whereas the ghost propagator diverges stronger than a massless particle pole. The numerical solutions are compared with recent lattice data for these propagators. The running coupling of the renormalization scheme approaches a fixed point, αc9.5\alpha_c \simeq 9.5, in the infrared.
  • quantum chromodynamics: Euclidean
  • Landau gauge
  • Dyson-Schwinger equation
  • Slavnov identity
  • gluon: propagator
  • ghost: propagator
  • infrared problem
  • numerical calculations