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We analyse the complete algebraic structure of the background field method for Yang--Mills theory in the Landau gauge and show several structural simplifications within this approach. In particular we present a new way to study the IR…

High Energy Physics - Theory · Physics 2009-11-10 Pietro A. Grassi , T. Hurth , A. Quadri

Possible mechanisms for gluon confinement in Yang-Mills theory in covariant gauges are discussed briefly. Implications for the infrared behavior of the Green's functions are outlined. Results for the gluon and Faddeev-Popov ghost…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wolfgang Schleifenbaum , Axel Maas , Jochen Wambach , Reinhard Alkofer

Lattice results for the gluon propagator in SU(2) pure gauge theory obtained on large lattices are presented. Simulated annealing is used throughout to fix the Landau gauge. We concentrate on checks for Gribov copy effects and for scaling…

High Energy Physics - Lattice · Physics 2010-11-05 I. L. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

Over the last years, lattice calculations in pure Yang-Mills gauge theory seem to have come more or less to a consensus. The ghost propagator is not enhanced and the gluon propagator is positivity violating, infrared suppressed and…

High Energy Physics - Theory · Physics 2011-06-15 N. Vandersickel , D. Dudal , O. Oliveira , S. P. Sorella

The ghost propagator in Landau gauge is studied at finite temperature below and above $T_c$ using lattice QCD simulations. For high temperatures, we find that the ghost propagator is enhanced, compared to the confined phase. The results…

High Energy Physics - Lattice · Physics 2023-01-04 Orlando Oliveira , Vítor Paiva , Paulo Silva

Within the Hamiltonian approach in Coulomb gauge the ghost and gluon propagators are determined from a variational solution of the Yang-Mills Schroedinger equation showing both gluon and heavy quark confinement. The continuum results are in…

High Energy Physics - Theory · Physics 2008-07-31 H. Reinhardt , D. Campagnari , D. Epple , M. Leder , M. Pak , W. Schleifenbaum

We perform lattice simulations in pure-SU(2) Yang-Mills theory to investigate how the infrared behavior of electric and magnetic gluon propagators in Landau gauge is affected by temperature. We consider the largest lattices to date, in an…

High Energy Physics - Lattice · Physics 2011-11-14 Attilio Cucchieri , Tereza Mendes

The inclusion of a mass-like term for the gluon in Yang-Mills theories quantized in the Landau gauge has proven to be an effective way of reproducing lattice results for gauge-fixed correlation functions within perturbative computations.…

High Energy Physics - Theory · Physics 2026-03-20 D. M. van Egmond , L. C. Ferreira , A. D. Pereira , G. Peruzzo , S. P. Sorella

We investigate the 2-point correlation functions of Yang-Mills theory in the Landau gauge by means of a massive extension of the Faddeev-Popov action. This model is based on some phenomenological arguments and constraints on the ultraviolet…

High Energy Physics - Theory · Physics 2013-05-29 Matthieu Tissier , Nicolas Wschebor

We study the Landau gauge gluon and ghost propagators of SU(3) gauge theory, employing the logarithmic definition for the lattice gluon fields and implementing the corresponding form of the Faddeev-Popov matrix. This is necessary in order…

High Energy Physics - Lattice · Physics 2011-05-10 Ernst-Michael Ilgenfritz , Christoph Menz , Michael Müller-Preussker , Arwed Schiller , André Sternbeck

Approximate solutions for the gluon and ghost propagators as well as the running coupling in Landau gauge Yang-Mills theories are presented. These propagators obtained from the corresponding Dyson-Schwinger equations are in remarkable…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , C. S. Fischer , L. von Smekal

We study analytic structures of the gluon, quark, and ghost propagators in the Landau-gauge QCD and general properties from the existence of unusual singularities. First, we investigate analytic structures of the QCD propagators using the…

High Energy Physics - Theory · Physics 2021-10-27 Yui Hayashi , Kei-Ichi Kondo

The correlator of the square of the Yang-Mills field-strength tensor corresponds to a scalar glueball, i.e., to a bound-state formed by gluonic ingredients only. It has quantum numbers 0++ and its mass, as predicted by different theoretical…

High Energy Physics - Phenomenology · Physics 2013-01-17 Andreas Windisch , Markus Q. Huber , Reinhard Alkofer

The SU(2) Yang-Mills gluon and ghost Green-functions are studied in Landau gauge by means of lattice gauge simulations. A focal point is their low energy behavior since in particular the Kugo-Ojima confinement criterion relates a diverging…

High Energy Physics - Lattice · Physics 2009-09-29 Kurt Langfeld

The analysis of (2+1)-dimensional Yang-Mills ($YM_{2+1})$ theory via the use of gauge-invariant matrix variables is reviewed. The vacuum wavefunction, string tension, the propagator mass for gluons, its relation to the magnetic mass for…

High Energy Physics - Theory · Physics 2009-11-07 V. P. Nair

We provide a short discussion of the dimension two condensate <A^2> and its influence on the infrared behaviour of the gluon propagator in the Landau gauge. Simultaneously, we pay attention to the issue of Gribov copies in the Landau gauge.…

High Energy Physics - Theory · Physics 2008-11-26 M. Capri , D. Dudal , J. Gracey , V. Lemes , R. Sobreiro , S. P. Sorella , R. Thibes , H. Verschelde

We derive a new functional renormalization group equation for Hamiltonian Yang-Mills theory in Coulomb gauge. The flow equations for the static gluon and ghost propagators are solved under the assumption of ghost dominance within different…

High Energy Physics - Theory · Physics 2011-02-02 Markus Leder , Jan M. Pawlowski , Hugo Reinhardt , Axel Weber

We study the instanton effect on the gluon scattering amplitudes at strong coupling and large $N$ for the ${\cal N}=4$ supersymmetric Yang-Mills theory. According to Alday and Maldacena, the gluon scattering amplitude corresponds…

High Energy Physics - Theory · Physics 2025-09-17 Koji Hashimoto , Koichi Kyo , Masaki Murata , Gakuto Ogiwara , Norihiro Tanahashi

We have found ultraviolet asymptotic slutions of the Schwinger-Dyson equation for the gluon and ghost propagators which have simultaneously the perturbative logarithmic correction and the non-perturbative $1/p^2$ power correction. By…

High Energy Physics - Lattice · Physics 2009-11-10 Takeharu Murakami , Kei-Ichi Kondo , Toru Shinohara , Akihiro Shibata

${\cal N}=4$ Super Yang-Mills theory is a highly constrained theory, and therefore a valuable tool to test the understanding of less constrained Yang-Mills theories. Our aim is to use it to test our understanding of both the Landau gauge…

High Energy Physics - Phenomenology · Physics 2016-03-09 Axel Maas , Stefan Zitz