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The three-gluon and ghost-gluon vertices of Landau gauge Yang-Mills theory are investigated in the low momentum regime. Due to ghost dominance in the infrared we can use the known power law behavior for the propagators to determine…

High Energy Physics - Phenomenology · Physics 2009-08-25 Markus Q. Huber , Reinhard Alkofer , Kai Schwenzer

The pion form factors of the QCD energy-momentum tensor (EMT) are studied in the instanton liquid model (ILM) of the QCD vacuum. In this approach the breaking of conformal symmetry is encoded in the form of stronger-than-Poisson…

High Energy Physics - Phenomenology · Physics 2024-10-16 Wei-Yang Liu , Edward Shuryak , Christian Weiss , Ismail Zahed

Efficient computation of lattice defect geometries such as point defects, dislocations, disconnections, grain boundaries, interfaces and free surfaces requires accurate coupling of displacements near the defect to the long-range elastic…

Materials Science · Physics 2013-08-06 Joseph A. Yasi , Dallas R. Trinkle

We present a shortened and simplified version of our proof \cite{Fischer:2006vf} of the uniqueness of the scaling solution for the infrared asymptotics of Green functions in Landau gauge Yang-Mills theory. The simplification relates to a…

High Energy Physics - Theory · Physics 2009-09-02 Christian S. Fischer , Jan M. Pawlowski

Lattice studies of the infrared regime of gauge theories are complicated by the required extensive limits, the performed gauge fixing and the demand for high statistics. Using a general power counting scheme for the infrared limit of Landau…

High Energy Physics - Phenomenology · Physics 2008-11-26 Reinhard Alkofer , Christian S. Fischer , Markus Q. Huber , Kai Schwenzer

The infrared behavior of gluon and ghost propagators offers a crucial test of confinement scenarios in Yang-Mills theories. A nonperturbative study of these propagators from first principles is possible in lattice simulations, but one must…

High Energy Physics - Lattice · Physics 2008-09-24 Attilio Cucchieri , Tereza Mendes

We show that the correlation functions of ghosts and gluons for the pure Yang-Mills theory in Landau gauge can be accurately reproduced for all momenta by a one-loop calculation. The key point is to use a massive extension of the…

High Energy Physics - Phenomenology · Physics 2010-11-11 Matthieu Tissier , Nicolas Wschebor

We present recent results for the Landau-gauge gluon and ghost propagators in SU(3) lattice gluodynamics obtained on a sequence of lattices with linear extension ranging from L=64 to L=96 at $\beta = 5.70$, thus reaching "deep infrared"…

High Energy Physics - Lattice · Physics 2009-05-18 I. L. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

We argue that low-energy gluodynamics can be explained in terms of semi-classical Yang-Mills solutions by demonstrating that lattice gluon correlation functions fit to instanton liquid predictions for low energies and, after cooling, in the…

High Energy Physics - Phenomenology · Physics 2016-08-16 Ph. Boucaud , F. De Soto , A. Le Yaouanc , J. Rodríguez-Quintero

The powerful quantization formalism of Batalin and Vilkovisky streamlines the derivation of the complete set of (non-linear) identities arising from the local BRST symmetry of Yang-Mills theories. When applied in the Background Field Method…

High Energy Physics - Phenomenology · Physics 2011-07-20 Daniele Binosi

Over the last decade, the infrared behavior of Yang-Mills theory in the Landau gauge has been scrutinized with the help of Dyson-Schwinger equations and lattice calculations. In this contribution, we describe a technically simple approach…

High Energy Physics - Theory · Physics 2012-11-08 Axel Weber

We report on the interesting possibility of instanton-driven gluon saturation in lepton-nucleon scattering at small Bjorken-x. The explicitly known instanton gauge field serves as a concrete realization of an underlying non-perturbative…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Schrempp , A. Utermann

We investigate the three-point correlation functions of Yang-Mills theory in the Landau gauge, with a particular emphasis on the infrared regime. The effect of the Gribov copies is accounted for by adding a mass term for the gluons in the…

High Energy Physics - Theory · Physics 2013-12-16 Marcela Pelaez , Matthieu Tissier , Nicolas Wschebor

We investigate the impact of instantons on scalar glueball properties in a largely model-independent analytical approach based on the instanton-improved operator product expansion (IOPE) of the $0^{++}$ glueball correlator. The instanton…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Forkel

We study $SU(2)$ lattice gauge theory in small volumes and with twist $\vec{m}=(1,1,1)$. We investigate the presence of the periodic instantons of $Q=\frac{1}{2}$ and determine their free energy and their contribution to the splitting of…

We present clear evidence of strong effects of Gribov copies in Landau gauge gluon and ghost propagators computed on the lattice at small momenta by employing a new approach to Landau gauge fixing and a more effective numerical algorithm.…

High Energy Physics - Lattice · Physics 2017-08-23 I. L. Bogolubsky , V. G. Bornyakov , G. Burgio , E. -M. Ilgenfritz , M. Müller-Preussker , V. K. Mitrjushkin

The classical Yang-Mills equation of motion is numerically investigated in the Lorentz gauge for a SU(2) gauge group. The color-electric field of two point-like charges is studied in the ''empty'' vacuum and in a state with an instanton…

High Energy Physics - Phenomenology · Physics 2011-09-13 Kurt Langfeld

This paper is one step toward infinite energy gauge theory and the geometry of infinite dimensional moduli spaces. We generalize a gluing construction in the usual Yang-Mills gauge theory to an ``infinite energy'' situation. We show that we…

Differential Geometry · Mathematics 2008-03-11 Masaki Tsukamoto

The nonperturbative effects in the high-energy processes involving strongly interacting particles are studied within the instanton liquid model of the QCD vacuum (ILM) by using the Wilson integral framework. The detailed analysis of…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. E. Dorokhov , I. O. Cherednikov

The arcane ADHM construction of Yang-Mills instantons can be very naturally understood in the framework of D-brane dynamics in string theory. In this point-of-view, the mysterious auxiliary symmetry of the ADHM construction arises as a…

High Energy Physics - Theory · Physics 2007-05-23 Nick Dorey , Timothy J. Hollowood , Valentin V. Khoze