Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory

@article{Cucchieri2006ExploratorySO,
  title={Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory},
  author={Attilio Cucchieri and Axel Maas and Tereza Mendes},
  journal={Physical Review D},
  year={2006},
  volume={74},
  pages={014503}
}
Green’s functions are a central element in the attempt to understand non-perturbative phenomena in Yang-Mills theory. Besides the propagators, 3-point Green’s functions play a significant role, since they permit access to the running coupling constant and are an important input in functional methods. Here we present numerical results for the two non-vanishing 3-point Green’s functions in 3d pure SU(2) Yang-Mills theory in (minimal) Landau gauge, i.e. the three-gluon vertex and the ghost-gluon… 
Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
The ghost and gluon propagator and the ghost-gluon and three-gluon vertex of two-dimensional SU(2) Yang-Mills theory in (minimal) Landau gauge are studied using lattice gauge theory. It is found that
Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: continuum results
A bstractWe investigate the Dyson-Schwinger equations for the gluon and ghost propagators and the ghost-gluon vertex of Landau-gauge gluodynamics in two dimensions. While this simplifies some aspects
Running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory
We consider the running coupling from the four-gluon vertex in Landau gauge, SU(N{sub c}) Yang-Mills theory as given by a combination of dressing functions of the vertex and the gluon propagator. We
On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory
A bstractWe solve the Dyson-Schwinger equations of the ghost and gluon propagators of Landau gauge Yang-Mills theory together with that of the ghost-gluon vertex. The latter plays a central role in
Infrared behavior of three-point functions in Landau gauge Yang–Mills theory
Analytic solutions for the three-gluon and ghost–gluon vertices in Landau gauge Yang–Mills theory at low momenta are presented in terms of hypergeometric series. They do not only show the expected
Landau-gauge propagators in Yang-Mills theories at 'beta'=0: massive solution versus conformal scaling
We study Landau-gauge gluon and ghost propagators in Yang-Mills theories at lattice parameter {beta}=0, considering relatively large lattice volumes for the case of the SU(2) gauge group in three and
Aspects of confinement in Yang-Mills theories
We investigate Yang-Mills theories. In particular, we follow a recently proposed new gauge-fixing procedure that aims at dealing with the presence of the so-called Gribov copies. These copies
Correlation functions of three-dimensional Yang-Mills theory from the FRG
We compute correlation functions of three-dimensional Landau-gauge Yang-Mills theory with the Functional Renormalisation Group. Starting from the classical action as only input, we calculate the
What's up with IR gluon and ghost propagators in Landau gauge? An answer from huge lattices
Several analytic approaches predict for SU(Nc) Yang-Mills theories in Landau gauge an enhanced ghost propagator G(p 2 ) and a suppressed gluon propagator D(p 2 ) at small momenta. This prediction
What's up with IR gluon and ghost propagators in Landau gauge? A puzzling answer from huge lattices
Several analytic approaches predict for SU(N_c) Yang-Mills theories in Landau gauge an enhanced ghost propagator G(p^2) and a suppressed gluon propagator D(p^2) at small momenta. This prediction
...
...