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Just how different are the SU(2) and SU(3) Landau-gauge propagators in the infrared regime?

A. Cucchieri and T. Mendes

O. Oliveira

P. J. Silva

  • Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, São Paulo, Brazil

  • Department of Physics, University of Coimbra, 3004-516 Coimbra, Portugal and Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, São Paulo, Brazil

  • Department of Physics, University of Coimbra, 3004-516 Coimbra, Portugal

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Phys. Rev. D 76, 114507 – Published 18 December, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.114507

Abstract

The infrared behavior of gluon and ghost propagators in Yang-Mills theories is of central importance for understanding quark and gluon confinement in QCD. While simulations of pure SU(3) gauge theory correspond to the physical case in the limit of infinite quark mass, the SU(2) case (i.e. pure two-color QCD) is usually employed as a simplification, in the hope that qualitative features be the same as for the SU(3) case. Here we carry out the first comparative study of lattice (Landau) propagators for these two gauge groups. Our data were especially produced with equivalent lattice parameters in order to allow a careful comparison of the two cases. We find very good agreement between SU(2) and SU(3) propagators, showing that in the IR limit the equivalence of the two cases is quantitative, at least down to about 1 GeV. Our results suggest that the infrared behavior of these propagators is independent of the gauge group SU(Nc), as predicted by Schwinger-Dyson equations.

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Phys. Rev. D 76, 114507– Published 18 December, 2007
  • Received 24 May 2007

© 2007 American Physical Society

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