Just how different are the SU(2) and SU(3) Landau-gauge propagators in the infrared regime?
Year: 2007
Type: article
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 $SU({N}_{c})$, as predicted by Schwinger-Dyson equations.
Authors: A. Cucchieri, T. Mendes, O. Oliveira, P. J. Silva
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: Desenvolvimento e aplicação de métodos computacionais de alto desempenho para análise de sistemas físicos e biológicos, Orlando Olavo Aragão Aleixo e Neves de Oliveira | Universidade de Coimbra - Portugal, CÓPIAS DE GRIBOV, PROPAGADORES DE GLUÕES E DE CAMPOS FANTASMAS, SINAIS DE CONFINAMENTO E ALGORITMOS PARA A ESCOLHA DA GAUGE EM CROMODINÂMICA QUÂNTICA SEM CAMPOS FERMIÓNICOS NA REDE
OpenAlex ID: W16208407