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The finite-temperature behavior of gluon and of Faddeev-Popov-ghost propagators is investigated for pure SU(2) Yang-Mills theory in Landau gauge. We present nonperturbative results, obtained using lattice simulations and Dyson-Schwinger…

High Energy Physics - Lattice · Physics 2008-11-26 Attilio Cucchieri , Axel Maas , Tereza Mendes

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

Expanding the Landau gauge gluon and ghost two-point functions in a power series we investigate their infrared behavior. The corresponding powers are constrained through the ghost Dyson-Schwinger equation by exploiting multiplicative…

High Energy Physics - Phenomenology · Physics 2009-11-07 Peter Watson , Reinhard Alkofer

Beyond perturbation theory the number of gauge copies drastically increases due to the Gribov-Singer ambiguity. Any way of treating them defines, in principle, a new, non-perturbative gauge, and the gauge-dependent correlation functions can…

High Energy Physics - Lattice · Physics 2017-11-07 Axel Maas

The infrared behavior of the gluon and ghost propagators is studied in SU(2) Euclidean Yang-Mills theory in the maximal Abelian gauge within the Gribov-Zwanziger framework. The nonperturbative effects associated with the Gribov copies and…

High Energy Physics - Theory · Physics 2008-11-26 M. A. L. Capri , V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella , R. Thibes

The effect of the dynamical mass generation on the gluon and ghost propagators in Euclidean Yang-Mills theory in the Landau gauge is analysed within Zwanziger's local formulation of the Gribov horizon.

High Energy Physics - Theory · Physics 2009-11-10 R. F. Sobreiro , S. P. Sorella , D. Dudal , H. Verschelde

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. We present and discuss numerical results…

High Energy Physics - Phenomenology · Physics 2021-09-08 Martin Napetschnig , Reinhard Alkofer , Markus Q. Huber , Jan M. Pawlowski

In this paper, we discuss non-perturbative infrared features of Yang-Mills theory in Euclidean space-time dimensions greater than four in the Landau gauge and within the Refined Gribov-Zwanziger framework, which enables us to take into…

High Energy Physics - Theory · Physics 2016-12-28 M. S. Guimaraes , A. D. Pereira , S. P. Sorella

We study the infrared behaviour of lattice SU(3) Yang-Mills theory in Coulomb gauge in terms of the ghost propagator, the Coulomb potential and the transversal and the time-time component of the equal-time gluon propagator. In particular,…

High Energy Physics - Lattice · Physics 2008-11-26 Aiko Voigt , Ernst-Michael Ilgenfritz , Michael Mueller-Preussker , Andre Sternbeck

In this work we use two different but complementary approaches in order to study the ghost propagator of a pure SU(3) Yang-Mills theory quantized in the linear covariant gauges, focusing on its dependence on the gauge-fixing parameter $\xi$…

High Energy Physics - Phenomenology · Physics 2015-04-16 A. C. Aguilar , D. Binosi , J. Papavassiliou

In order to understand the confining decoupling solution of the Yang-Mills theory in the Landau gauge, we consider the massive Yang-Mills model which is defined by just adding a gluon mass term to the Yang-Mills theory with the…

High Energy Physics - Theory · Physics 2020-02-26 Kei-Ichi Kondo , Masaki Watanabe , Yui Hayashi , Ryutaro Matsudo , Yutaro Suda

We investigate the generation of a gluon screening mass in Yang-Mills theory in the Landau gauge. We propose a gauge-fixing procedure where the Gribov ambiguity is overcome by summing over all Gribov copies with some weight function. This…

High Energy Physics - Theory · Physics 2021-02-17 Camille Noûs , Urko Reinosa , Julien Serreau , Rodrigo Carmo Terin , Matthieu Tissier

The gluon and ghost propagators in Landau Gauge Yang-Mills Theory are investigated. Self-consistent solutions are obtained from their equations of motion above and below the presumed phase transition. Gluon confinement is manifest in these…

High Energy Physics - Phenomenology · Physics 2009-11-10 Axel Maas , Jochen Wambach , Burghard Gruter , Reinhard Alkofer

We prove that the Faddeev-Popov ghost dressing function in the Yang-Mills theory is non-zero and finite in the limit of vanishing momenta and hence the ghost propagator behaves like free in the deep infrared regime, within the…

High Energy Physics - Theory · Physics 2010-04-21 Kei-Ichi Kondo

In this talk we consider the mass-deformed Yang-Mills theory in the covariant gauge which is obtained by just adding a gluon mass term to the Yang-Mills theory with the covariant gauge fixing term and the associated Faddeev-Popov ghost…

High Energy Physics - Theory · Physics 2018-12-04 Kei-Ichi Kondo , Yutaro Suda , Masaki Ohuchi , Ryutaro Matsudo , Yui Hayashi

We consider Yang-Mills theories quantized in the Landau gauge in the presence of the Gribov horizon via the refined Gribov Zwanziger (RGZ) framework. As the restriction of the gauge path integral to the Gribov region is taken into account,…

High Energy Physics - Theory · Physics 2018-02-28 B. W. Mintz , L. F. Palhares , S. P. Sorella , A. D. Pereira

We present a more detailed picture of the infrared regime of Landau gauge Yang-Mills theory. This is done within a novel framework that allows one to take into account the influence of finite scales within an infrared power counting…

High Energy Physics - Theory · Physics 2010-05-19 Reinhard Alkofer , Markus Q. Huber , Kai Schwenzer

The canonical recursive Dyson--Schwinger equations for the three-gluon and ghost-gluon vertices are solved numerically. The employed truncation includes several previously neglected diagrams and includes back-coupling effects. We find an…

High Energy Physics - Phenomenology · Physics 2015-02-18 Markus Q. Huber , Davide R. Campagnari , Hugo Reinhardt

The present work discusses an approach to access the physical spectrum of the Yang-Mills theory quantized in the Landau gauge. By using recent lattice data on the gluon propagator, it is possible to study the two-point functions of gauge…

High Energy Physics - Theory · Physics 2011-09-06 Silvio P. Sorella , David Dudal , Marcelo S. Guimaraes , Nele Vandersickel

I briefly review results obtained within the variational Hamiltonian approach to Yang-Mills theory in Coulomb gauge and confront them with recent lattice data. The variational approach is extended to non-Gaussian wave functionals including…

High Energy Physics - Theory · Physics 2015-05-27 H. Reinhardt , D. R. Campagnari , M. Leder , G. Burgio , J. M. Pawlowski , M. Quandt , A. Weber