Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory

Dec, 2004
13 pages
Published in:
  • Phys.Lett.B 611 (2005) 279-288,
  • Phys.Lett.B 670 (2009) 460-461 (erratum)
e-Print:
Report number:
  • UNITU-THEP-22-04,
  • IPPP-04-89,
  • DCPT-04-178

Citations per year

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Abstract:
The infrared behaviour of vertex functions in an SU(N) Yang-Mills theory in Landau gauge is investigated employing a skeleton expansion of the Dyson-Schwinger equations. The three- and four-gluon vertices become singular if and only if all external momenta vanish while the dressing of the ghost-gluon vertex remains finite in this limit. The running coupling as extracted from either of these vertex functions possesses an infrared fixed point. In general, diagrams including ghost-loops dominate in the infrared over purely gluonic ones.
  • 11.15.Tk
  • 12.38.Aw
  • 02.30.Rz
  • 14.70.Dj
  • 12.38.Lg
  • Confinement
  • Universality
  • Nonperturbative QCD
  • Running coupling
  • Dyson-Schwinger equations