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Related papers: Landau gauge gluon vertices from Lattice QCD

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The four-gluon one-particle irreducible Green function contributes to various quantities with phenomenological relevance. An example where the four-gluon plays a role is the determination of the gluon propagator, a basic building block for…

High Energy Physics - Lattice · Physics 2025-01-31 Manuel Colaço , Orlando Oliveira , Paulo J. Silva

A lattice QCD calculation for the four gluon one-particle irreducible Green function in the Landau gauge is discussed. Results for some of the associated form factors are reported for kinematical configurations with a single momentum scale.…

High Energy Physics - Lattice · Physics 2024-01-23 Manuel Colaço , Orlando Oliveira , Paulo J. Silva

The lattice computation of the one-particle irreducible ghost-gluon Green function in the Landau gauge is revisited with a set of large gauge ensembles. The large statistical ensembles enable a precise determination of this Green function…

High Energy Physics - Lattice · Physics 2024-11-27 Nuno Brito , Orlando Oliveira , Paulo J. Silva

Gluon two- and three-point Green Functions computed in Landau gauge from the lattice show the existence of power corrections to the purely perturbative expressions, that can be explained through an Operator Product Expansion as the…

High Energy Physics - Phenomenology · Physics 2016-08-16 Ph. Boucaud , F. De Soto , A. Donini , J. P. Leroy , A. Le Yaouanc , J. Micheli , H. Moutarde , O. Pène , J. Rodríguez-Quintero

Strong coupling constant computed in Landau gauge and MOM renormalization scheme from lattice two and three gluon Green Functions exhibits an unexpected behavior in the deep IR, showing a maximum value around $1 {\rm GeV}$. We analise this…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ph. Boucaud , F. De Soto , A. Le Yaouanc , J. P. Leroy , J. Micheli , O. Pene , J. Rodriguez-Quintero

The computation of the four-gluon and ghost-gluon vertices in the Landau gauge using high statistical lattice ensembles for $32^4$ and $48^4$ volumes is addressed. For the four-gluon vertex, our previous results for the collinear kinematics…

High Energy Physics - Lattice · Physics 2025-05-30 Nuno Brito , Manuel Colaço , Orlando Oliveira , Paulo J. Silva

We show that QCD Green functions in Landau Gauge exhibit sizable $O(1/\mu^2)$ corrections to the expected perturbative behavior at energies as high as 10 GeV. We argue that these are due to a $<A^2>$-condensate which does not vanish in…

High Energy Physics - Phenomenology · Physics 2016-08-16 D. Becirevic , Ph. Boucaud , F. De Soto , A. Le Yaouanc , J. P. Leroy , J. Micheli , O. Pène , J Rodrí guez-Quintero , C. Roiesnel

We revisit the computation of the three-gluon vertex in the Landau gauge using lattice QCD simulations with large physical volumes of $\sim$ (6.5 fm)$^ 4$ and $\sim$ (8 fm)$^ 4$ and large statistical ensembles. For the kinematical…

High Energy Physics - Lattice · Physics 2022-02-16 Guilherme T. R. Catumba , Orlando Oliveira , Paulo J. Silva

Several continuum and lattice investigations of the QCD three-gluon vertex have recently exposed its key properties, some intimately connected with the low-momentum behavior of the two-point gluon Green's function and specially relevant for…

High Energy Physics - Phenomenology · Physics 2024-04-16 F. Pinto-Gómez , F. De Soto , J. Rodríguez-Quintero

A `forward walking' Green's Function Monte Carlo algorithm is used to obtain expectation values for SU(3) lattice Yang-Mills theory in (3+1) dimensions. The ground state energy and Wilson loops are calculated, and the finite-size scaling…

High Energy Physics - Lattice · Physics 2009-10-31 C. J. Hamer , M. Samaras , R. J. Bursill

The running coupling constant can be estimated by computing gluon two- and three-point Green functions from the lattice. Computing in lattice implies working in a fixed gauge sector (Landau). An source of systematic uncertainty is then the…

High Energy Physics - Phenomenology · Physics 2016-08-16 Ph. Boucaud , F. De Soto , A. Donini , A. Le Yaouanc , J. P. Leroy , J. Micheli , H. Moutarde , O. Pène , J. Rodríguez-Quintero

A crucial step in extracting physical predictions from lattice QCD simulations is the scale setting, i.e. the determination of the lattice spacing ($a$) in physical units. Herein, the relative scale setting for different $\beta$'s is…

High Energy Physics - Lattice · Physics 2025-12-24 Orlando Oliveira , Paulo J Silva

We study the self energies of all particles which appear in a lattice regularization of supersymmetric QCD (${\cal N}=1$). We compute, perturbatively to one-loop, the relevant two-point Green's functions using both the dimensional and the…

High Energy Physics - Lattice · Physics 2017-04-05 M. Costa , H. Panagopoulos

A ``forward walking'' Quantum Monte Carlo (QMC) algorithm has been developed to calculate correlation functions for the Hamiltonian lattice formulation of U(1) Yang-Mills theory in (2+1) dimensions. It is shown that Wilson loops can be…

High Energy Physics - Lattice · Physics 2009-10-31 Chris J. Hamer , Robert J. Bursill , Maria Samaras

The three gluon one particle irreducible function is investigated using lattice QCD simulations over a large region of momentum in the Landau gauge for four dimensional pure Yang-Mills equations and the SU(3) gauge group. The results favor…

High Energy Physics - Lattice · Physics 2016-10-12 Anthony G. Duarte , Orlando Oliveira , Paulo J. Silva

The infrared behaviour of QCD Green's functions in Landau gauge has been focus of intense study. Different non-perturbative approaches lead to a prediction in line with the conditions for confinement in local quantum field theory as spelled…

High Energy Physics - Theory · Physics 2008-12-04 Lorenz von Smekal

In this article we study in detail the prospects of determining the infrared finite QCD effective charge from a special kinematic limit of the vertex function corresponding to three background gluons. This particular Green's function…

High Energy Physics - Phenomenology · Physics 2013-06-26 D. Binosi , D. Ibanez , J. Papavassiliou

A first order differential equation of Green's Function, at the origin G(0), for the one- dimensional lattice is derived by simple recurrence relation. Green's Function at site (m)is then calculated in terms of G(0). A simple recurrence…

General Physics · Physics 2009-04-06 J. H. Asad

We reconsider the lattice measurement of Green functions in Coulomb gauge, both in 2+1 and 3+1 dimensions, using an improved gauge fixing scheme. The influence of Gribov copies is examined and we find clear indications that Green functions…

High Energy Physics - Lattice · Physics 2008-11-26 M. Quandt , G. Burgio , S. Chimchinda , H. Reinhardt

The gluon propagator in the Landau gauge is calculated in quenched QCD on a large lattice (32^3x64) at beta=6.0. In order to assess finite volume and finite lattice spacing artefacts, we also calculate the propagator on a smaller volume for…

High Energy Physics - Lattice · Physics 2007-05-23 D. B. Leinweber , J. I. Skullerud , A. G. Williams
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