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

Authors: A. Cucchieri, T. Mendes, O. Oliveira, P. J. Silva

Ref.: Phys. Rev. D76, 114507 (2007)

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 equivalence of the two cases is quantitative. Our results seem to confirm the prediction from Schwinger-Dyson equations that the infrared exponents are independent of the gauge group SU(N_c).

URL: link.aps.org