Infrared analysis of propagators and vertices of Yang–Mills theory in Landau and Coulomb gauge
نویسندگان
چکیده
Abstract The infrared behaviour of gluon and ghost propagators, ghost-gluon vertex and three-gluon vertex is investigated for both the covariant Landau and the non-covariant Coulomb gauge. Assuming infrared ghost dominance, we find a unique infrared exponent in the d = 4 Landau gauge, while in the d = 3 + 1 Coulomb gauge we find two different infrared exponents. We also show that a finite dressing of the ghost-gluon vertex has no influence on the infrared exponents. Finally, we determine the infrared behaviour of the three-gluon vertex analytically and calculate it numerically at the symmetric point in the Coulomb gauge.
منابع مشابه
Propagators in Yang-Mills theory for different gauges
Green’s functions are gauge-dependent quantities. Thus, the manifestation of confinement in these correlation functions also depends on the gauge. Here we use lattice gauge theory to study the gluon and the ghost propagators in a gauge (the so-called λ -gauge) interpolating between the Landau and the Coulomb gauge. Results are compared to the usual minimal Landau gauge.
متن کاملTemperature Dependence of Gluon and Ghost Propagators in Landau-Gauge Yang–Mills Theory below the Phase Transition
The Dyson–Schwinger equations of Landau-gauge Yang–Mills theory for the gluon and ghost propagators are investigated. Numerical results are obtained within a truncation scheme which has proven to be successful at vanishing temperature. For temperatures up to 250 MeV we find only minor quantitative changes in the infrared behaviour of the gluon and ghost propagators. The effective action calcula...
متن کاملHow to extract information from Green’s functions in Landau gauge
The infrared behavior of gluon and ghost propagators offers a crucial test of confinement scenarios in Yang-Mills theories. A nonperturbative study of these propagators from first principles is possible in lattice simulations, but one must consider significantly large lattice sizes in order to approach the infrared limit. We propose constraints based on general properties of the propagators to ...
متن کاملComparing Pure Yang-mills Su(2) and Su(3) Propagators
The infrared behavior of gluon and ghost propagators in Yang-Mills gauge theories is of central importance for the understanding of confinement in QCD. While analytic studies using Schwinger-Dyson equations predict the same infrared exponents for the SU(2) and SU(3) gauge groups, lattice simulations usually assume that the two cases are different, although their qualitative infrared features ma...
متن کاملThe running coupling from the four-gluon vertex in Landau gauge SU(N) Yang-Mills theory
The running coupling of Yang-Mills theory has been investigated in a number of approaches in recent years [1]. The focus of these studies is the question how to extend our knowledge of the coupling from the perturbative, large momentum region towards small scales of the order of ΛQCD. Perturbation theory alone, plagued by the problem of the Landau pole, is clearly insufficient for this task. In...
متن کامل