# What's up with IR gluon and ghost propagators in Landau gauge? A puzzling answer from huge lattices

@article{Cucchieri2007WhatsUW, title={What's up with IR gluon and ghost propagators in Landau gauge? A puzzling answer from huge lattices}, author={Attilio Cucchieri and Tereza Mendes}, journal={arXiv: High Energy Physics - Lattice}, year={2007} }

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 applies to two, three and four space-time dimensions. Moreover, the gluon propagator is predicted to be null at p = 0. Numerical studies by several groups indeed support an enhanced ghost propagator when compared to the tree-level behavior $1/p^2$ and a finite infrared gluon propagator. However, the…

No Paper Link Available

## 112 Citations

Lattice evidence for the family of decoupling solutions of Landau gauge Yang–Mills theory

- Physics
- 2013

A first look at Landau-gauge propagators in G2 Yang-Mills theory

- Physics
- 2008

G2 Yang-Mills theory is an interesting laboratory to investigate non-perturbative effects. On one hand, no conventional quark confinement via a linearly rising potential is present. On the other…

Another look at the Landau-gauge gluon and ghost propagators at low momentum

- Physics
- 2013

We study the gluon and ghost propagators of SU(2) lattice Landau gauge theory and find their low-momentum behavior being sensitive to the lowest non-trivial eigenvalue (\lambda_1) of the…

On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions

- Physics
- 2010

We study the low-momentum behaviour of Yang-Mills propagators obtained from Landau-gauge Dyson-Schwinger equations (DSE) in the PT-BFM scheme. We compare the ghost propagator numerical results with…

Roles of the Color Antisymmetric Ghost Propagator in the Infrared QCD

- Physics
- 2009

The results of Coulomb gauge and Landau gauge lattice QCD simulation do not agree completely with continuum theory. There are indications that the ghost propagator in the infrared region has strong…

Yang-Mills propagators in linear covariant gauges from Nielsen identities

- PhysicsPhysical Review D
- 2021

We calculate gluon and ghost propagators in Yang-Mills theory in linear covariant gauges. To that end, we utilize Nielsen identities with Landau gauge propagators and vertices as the starting point.…

Correlation Functions in Pure Gauge Theories Propagators and vertices in Lattice QCD

- Physics
- 2016

This dissertation is a result of the work developed throughout the year by the author in association with his supervisors. There were two main objectives: one was to study the gluon and ghost…

Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: continuum results

- Physics
- 2012

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…

Gluon and ghost propagator studies in lattice QCD at finite temperature

- Physics
- 2013

Gluon and ghost propagators in quantum chromodynamics (QCD) computed in the infrared momentum region play an important role to understand quark and gluon confinement. They are the subject of…

Two-dimensional gluon propagators in maximally Abelian gauge in SU(2) Lattice QCD

- Physics
- 2014

Using SU(2) lattice QCD in two dimensions, we study diagonal and off-diagonal gluon propagators in the maximally Abelian gauge (MAG) with U(1)$_3$ Landau gauge fixing. These propagators are…

## References

SHOWING 1-10 OF 29 REFERENCES

INFRARED-SUPPRESSED GLUON PROPAGATOR IN 4D YANG–MILLS THEORY IN A LANDAU-LIKE GAUGE

- Physics
- 2007

The infrared behavior of the gluon propagator is directly related to confinement in QCD. Indeed, the Gribov–Zwanziger scenario of confinement predicts an infrared vanishing (transverse) gluon…

Large momentum behavior of the ghost propagator in SU(3) lattice gauge theory

- Physics
- 2005

We study the large momentum behavior of the ghost propagator in the quenched SU(3) lattice gauge theory with Wilson action. The study is performed on lattices with a physical volume fixed around 1.6…

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

- Physics
- 2007

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…

A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge

- Physics
- 1998

A truncation scheme for the Dyson{endash}Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov{endash}Taylor identities for the 3-point vertex functions. Neglecting…

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

- Physics
- 2006

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…

Infrared exponent for gluon and ghost propagation in Landau gauge QCD

- Physics
- 2002

In gauge theories without Higgs mechanism, particles carrying the global charges of the gauge group cannot strictly be localized. Localized physical states are necessarily neutral in QED and…

Numerical study of the ghost-gluon vertex in Landau gauge

- Physics
- 2004

We present a numerical study of the ghost-gluon vertex and of the corresponding renormalization function 1(p 2) in minimal Landau gauge for SU(2) lattice gauge theory. Data were obtained for three…

Landau gauge gluon and ghost propagators from lattice QCD

- Physics
- 2006

We report on recent numerical computations of the Landau gauge gluon and ghost propagators as well as of the ghost-gluon-vertex function in pure SU(3) Yang-Mills theory and in full QCD on the…