Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-05-23
Phys.Rev.D76:114507,2007
Physics
High Energy Physics
High Energy Physics - Lattice
5 pages, 1 table, 4 figures; modified title, abstract and text; added references; to appear in Phys. Rev. D;
Scientific paper
10.1103/PhysRevD.76.114507
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) ans 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(N_c), as predicted by Schwinger-Dyson equations.
Cucchieri Attilio
Mendes Tereza
Oliveira Orlando
Silva Pedro J.
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