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In this paper we study the two-body bound states for gluons and ghosts in a massive Yang-Mills theory which is obtained by generalizing the ordinary massless Yang-Mills theory in a manifestly Lorentz covariant gauge. First, we give a…

High Energy Physics - Theory · Physics 2019-12-06 Hitoshi Fukamachi , Kei-Ichi Kondo , Shogo Nishino , Toru Shinohara

We use AdS/CFT duality to compute in N=4 Yang-Mills theory the finite temperature spatial correlator G(r) of the scalar operator F^2, integrated over imaginary time. The computation is carried out both at zero frequency and integrating the…

High Energy Physics - Theory · Physics 2011-03-21 K. Kajantie , M. Vepsalainen

In this work we compute, at the "one-loop-dressed" level, the nonperturbative contribution of the ghost loops to the self-energy of the gluon propagator, in the Landau gauge. This is accomplished within the PT-BFM formalism, which…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. C. Aguilar , D. Binosi , J. Papavassiliou

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

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

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…

High Energy Physics - Lattice · Physics 2011-01-27 Hugo Reinhardt , Markus Leder , Jan M. Pawlowski , Axel Weber

An improved method for extracting infrared exponents from functional equations is presented. The generalizations introduced allow for an analysis of quite complicated systems such as Yang-Mills theory in the maximally Abelian gauge.…

High Energy Physics - Theory · Physics 2014-11-18 Markus Q. Huber , Kai Schwenzer , Reinhard Alkofer

We reexamine the conventional arguments concerned with the scaling and decoupling solutions for the ghost and gluon propagators in the Landau gauge Yang-Mills theory. We point out a few issues to be clarified, which seems to be overlooked…

High Energy Physics - Theory · Physics 2011-07-14 Kei-Ichi Kondo

It is shown that the inverse of the ghost form factor in the Hamilton approach to Yang-Mills theory in Coulomb gauge can be interpreted as the color dielectric function of the QCD vacuum. Furthermore the horizon condition to the ghost form…

High Energy Physics - Theory · Physics 2008-11-26 H. Reinhardt

We solve exactly the Dyson-Schwinger equations for Yang-Mills theory in 3 and 4 dimensions. This permits us to obtain the exact correlation functions till order 2. In this way, the spectrum of the theory is straightforwardly obtained and…

High Energy Physics - Phenomenology · Physics 2018-05-09 Marco Frasca

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

We study Landau-gauge Yang-Mills theory by means of a nonperturbative vertex expansion of the quantum effective action. Using an exact renormalization group equation, we compute the fully dressed gluon and ghost propagators to lowest…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Holger Gies

The Dyson-Schwinger equations arising from minimizing the vacuum energy density in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge are solved numerically. A new solution is presented which gives rise to a strictly linearly…

High Energy Physics - Theory · Physics 2008-11-26 D. Epple , H. Reinhardt , W. Schleifenbaum

We provide results for the spectrum of scalar and pseudoscalar glueballs in pure Yang-Mills theory using a parameter-free fully self-contained truncation of Dyson-Schwinger and Bethe-Salpeter equations. The only input, the scale, is fixed…

High Energy Physics - Phenomenology · Physics 2020-11-25 Markus Q. Huber , Christian S. Fischer , Hèlios Sanchis-Alepuz

We summarize results on finite-volume effects in the propagators of Landau gauge Yang-Mills theory using Dyson-Schwinger equations on a 4-dimensional torus. We demonstrate explicitly how the solutions for the gluon and the ghost propagator…

High Energy Physics - Lattice · Physics 2008-11-26 Christian S. Fischer , Reinhard Alkofer , Axel Maas , Jan M. Pawlowski , Lorenz von Smekal

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.

High Energy Physics - Lattice · Physics 2009-11-10 Kei-Ichi Kondo

The two- and three-point functions and the four-gluon vertex of three-dimensional Yang-Mills theory are calculated from their Dyson-Schwinger equations and the 3PI effective action. Within a self-contained truncation various effects of…

High Energy Physics - Theory · Physics 2016-05-13 Markus Q. Huber

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

In this work we study the impact that the ghost sector of pure Yang-Mills theories may have on the generation of a dynamical gauge boson mass, which hinges on the appearance of massless poles in the fundamental vertices of the theory, and…

High Energy Physics - Phenomenology · Physics 2018-04-04 A. C. Aguilar , D. Binosi , C. T. Figueiredo , J. Papavassiliou

We study a special Schwinger-Dyson equation in the context of a pure SU(3) Yang-Mills theory, formulated in the background field method. Specifically, we consider the corresponding equation for the vertex that governs the interaction of two…

High Energy Physics - Phenomenology · Physics 2022-12-14 A. C. Aguilar , M. N. Ferreira , B. M. Oliveira , J. Papavassiliou