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We investigate BRST invariance in Landau gauge Yang-Mills theory with functional methods. To that end, we solve the coupled system of functional renormalisation group equations for the momentum-dependent ghost and gluon propagator,…

高能物理 - 理论 · 物理学 2022-08-26 Jan M. Pawlowski , Coralie S. Schneider , Nicolas Wink

I review results recently obtained within the Hamiltonian approach to Yang-Mills theory in Coulomb gauge. In particular, I will present results for the ghost and gluon propagators and compare these with recent lattice data. Furthermore, I…

Using the operator product expansion we show that the $O(1/p^2)$ correction to the perturbative expressions for the gluon propagator and the strong coupling constant resulting from lattice simulations in the Landau gauge are due to a…

高能物理 - 唯象学 · 物理学 2010-03-19 Ph. Boucaud , A. Le Yaouanc , J. P. Leroy , J. Micheli , O. Pène , J. Rodríguez-Quintero

The ghost propagator and the Coulomb potential are evaluated in Coulomb gauge on the lattice, using an improved gauge fixing scheme which includes the residual symmetry. This setting has been shown to be essential in order to explain the…

高能物理 - 理论 · 物理学 2009-06-25 M. Quandt , G. Burgio , S. Chimchinda , H. Reinhardt

The Gribov copies and their consequences on the infrared behavior of the gluon propagator are investigated in Euclidean Yang-Mills theories quantized in linear covariant gauges. Considering small values of the gauge parameter, it turns out…

高能物理 - 理论 · 物理学 2009-11-11 R. F. Sobreiro , S. P. Sorella

The two point gluon and ghost correlation functions and the three gluon vertex are investigated, in the Landau gauge, using lattice simulations. For the two point functions, we discuss the approach to the continuum limit looking at the…

高能物理 - 格点 · 物理学 2017-04-05 O. Oliveira , A. G. Duarte , D. Dudal , P. J. Silva

Starting from the lattice Landau gauge gluon and ghost propagator data we use a sequence of Pad\'e approximants, identify the poles and zeros for each approximant and map them into the analytic structure of the propagators. For the Landau…

高能物理 - 格点 · 物理学 2021-01-04 Alexandre F. Falcão , Orlando Oliveira , Paulo J. Silva

We present an analytic description of numerical results for the ghost propagator G(p^2) in minimal Landau gauge on the lattice. The data were produced in the SU(2) case using the largest lattice volumes to date, for d = 2, 3 and 4…

高能物理 - 格点 · 物理学 2016-06-01 Attilio Cucchieri , David Dudal , Tereza Mendes , Nele Vandersickel

We present here our results on extracting Wilson coefficients from different quantities such as ghost and gluon propagators which are calculated by means of Lattice QCD. The results confirm the validity of our method for the calculation of…

A new functional renormalization group equation for Hamiltonian Yang-Mills theory in Coulomb gauge is presented and solved for the static gluon and ghost propagators under the assumption of ghost dominance. The results are compared to those…

高能物理 - 理论 · 物理学 2011-06-15 Hugo Reinhardt , Markus Leder , Jan M. Pawlowski , Axel Weber

We report on some recent analytical results on the behaviour of the gluon and ghost propagators in Euclidean SU(2) Yang-Mills theory quantized in the maximal Abelian gauge (MAG). This gauge is of particular interest for the dual…

高能物理 - 理论 · 物理学 2011-08-04 M. A. L. Capri , D. Dudal , J. A. Gracey , V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella , R. Thibes , H. Verschelde

The infrared behavior of gluon and ghost propagators in Landau gauge Yang-Mills theory has been at the center of an intense debate over the last decade. Different solutions of the Dyson-Schwinger equations show a different behavior of the…

高能物理 - 理论 · 物理学 2015-06-05 Axel Weber

We show that the application of a novel gauge invariant truncation scheme to the Schwinger-Dyson equations of QCD leads, in the Landau gauge, to an infrared finite gluon propagator and a divergent ghost propagator, in qualitative agreement…

高能物理 - 唯象学 · 物理学 2009-08-31 A. C. Aguilar , D. Binosi , J. Papavassiliou

We utilise a recently developed minimal MOM scheme to determine the QCD Lambda parameter from the gluon and ghost propagators in lattice Landau gauge. We discuss uncertainties in the analysis and report our preliminary zero and two flavour…

高能物理 - 格点 · 物理学 2010-05-12 A. Sternbeck , E. -M. Ilgenfritz , K. Maltman , M. Mueller-Preussker , L. von Smekal , A. G. Williams

Two popular perspectives on the non-perturbative domain of Yang-Mills theories are either in terms of the gluons themselves or in terms of collective gluonic excitations, i.e. topological excitations. If both views are correct, then they…

高能物理 - 格点 · 物理学 2015-03-19 Axel Maas

We study the Landau gauge correlators of Yang-Mills fields for infrared Euclidean momenta in the context of a massive extension of the Faddeev-Popov Lagrangian which, we argue, underlies a variety of continuum approaches. Standard…

高能物理 - 理论 · 物理学 2017-08-11 Urko Reinosa , Julien Serreau , Matthieu Tissier , Nicolás Wschebor

Non-perturbative properties of QCD, such as color confinement, are encoded in the infrared behavior of correlation functions, e.g. propagators and vertices. Various analytic predictions have been suggested for these quantities in various…

高能物理 - 格点 · 物理学 2010-11-15 Axel Maas , Attilio Cucchieri , Tereza Mendes

We discuss the possible form of gluon and ghost propagators in the infrared region of Yang-Mills theory in the covariant gauge from the viewpoint of general principles of quantized gauge field theories.

高能物理 - 格点 · 物理学 2009-11-10 Kei-Ichi Kondo

We explore the analytic structure of the gluon and quark propagators of Landau gauge QCD from numerical solutions of the coupled system of renormalized Dyson--Schwinger equations and from fits to lattice data. We find sizable negative norm…

高能物理 - 唯象学 · 物理学 2008-11-26 R. Alkofer , W. Detmold , C. S. Fischer , P. Maris

We study the gluon and ghost propagators of lattice Landau gauge in the strong coupling limit $\beta = 0$ in pure SU(2) lattice gauge theory to find evidence of the conformal infrared behaviour of these propagators as predicted by a variety…

高能物理 - 格点 · 物理学 2010-01-21 Andre Sternbeck , Lorenz von Smekal