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The infrared behaviour of vertex functions in an SU(N) Yang-Mills theory in Landau gauge is investigated employing a skeleton expansion of the Dyson-Schwinger equations. The three- and four-gluon vertices become singular if and only if all…

High Energy Physics - Theory · Physics 2010-04-06 Reinhard Alkofer , Christian S. Fischer , Felipe J. Llanes-Estrada

A truncation scheme for the Dyson-Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov-Taylor identities for the 3-point vertex functions. Neglecting contributions from 4-point correlations such as the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Lorenz von Smekal , Andreas Hauck , Reinhard Alkofer

We report on the first self-consistent solution of the Dyson-Schwinger equation (DSE) for the three-gluon vertex. Based on earlier results for the propagators which match data from lattice Monte-Carlo simulations, we obtain results for the…

High Energy Physics - Phenomenology · Physics 2014-04-02 Adrian L. Blum , Markus Q. Huber , Mario Mitter , Lorenz von Smekal

SU(2) Yang-Mills Theory coupled to massive adjoint scalar matter is studied in (1+1) dimensions using Discretised Light-Cone Quantisation. This theory can be obtained from pure Yang-Mills in 2+1 dimensions via dimensional reduction. On the…

High Energy Physics - Theory · Physics 2009-10-28 Alex C. Kalloniatis

The infrared behavior of the gluon and ghost propagators is analyzed in Yang-Mills theories in the presence of dynamical mass generation in the Landau gauge. By restricting the domain of integration in the path-integral to the Gribov region…

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

A truncation scheme for the Dyson-Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov-Taylor identities for the 3-point vertex functions. Neglecting contributions from 4-point correlations such as the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andreas Hauck , Reinhard Alkofer , Lorenz von Smekal

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

We apply the Bogoliubov compensation principle to QCD. The non-trivial solution of compensation equations for a spontaneous generation of the anomalous three-gluon interaction leads to the determination of parameters of the theory,…

High Energy Physics - Theory · Physics 2013-03-05 Boris A. Arbuzov , Ivan V. Zaitsev

A very simple variational approach to pure SU($N$) Yang-Mills theory is proposed, based on the Gaussian effective potential in a linear covariant gauge. The method provides an analytical variational argument for mass generation. The method…

High Energy Physics - Phenomenology · Physics 2018-03-21 Giorgio Comitini , Fabio Siringo

Supersymmetric gauge theories are an essential part of most theories beyond the standard model. In the present work we investigate the pure gauge sector of Super-QCD focusing on the bound states, i.e. mesonic gluinoballs, gluino-glueballs…

High Energy Physics - Lattice · Physics 2019-12-23 Marc Steinhauser , Andre Sternbeck , Björn Wellegehausen , Andreas Wipf

We formulate and solve a Euclidean Bethe-Salpeter equation for the lightest scalar glueball (0++) in pure Yang-Mills theory, using the refined Gribov-Zwanziger gluon tree-level propagator as an infrared-complete input. In a minimal ladder…

High Energy Physics - Phenomenology · Physics 2026-01-28 Rodrigo Carmo Terin

We present details of the analytic computation of the spectrum of lowest spin glueballs in pure Yang-Mills theory in 2+1 dimensions. The new ingredient is provided by the conjectured new non-trivial expression for the (quasi)Gaussian part…

High Energy Physics - Theory · Physics 2008-11-26 Robert G. Leigh , Djordje Minic , Alexandr Yelnikov

Correlation functions of Landau gauge Yang-Mills theory are calculated from their equations of motion. Solutions for the three- and four-gluon vertices and the role of two-loop diagrams in the gluon propagator equation are discussed.

High Energy Physics - Phenomenology · Physics 2019-09-25 Markus Q. Huber

In this note, we use the new bottom up method based on soft theorems to construct the expansion of single-trace Yang-Mills-scalar amplitudes recursively. The resulted expansion manifests the gauge invariance for any polarization carried by…

High Energy Physics - Theory · Physics 2026-05-05 Fang-Stars Wei , Kang Zhou

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

In the framework of the functional renormalization group, we reexamine the stability of the Yang-Mills vacuum with a chromomagnetic condensation. We show that the Nielsen-Olesen instability of the Savvidy vacuum with a homogeneous…

High Energy Physics - Theory · Physics 2013-12-03 Kei-Ichi Kondo

Recent lattice studies exhibit infrared finite effective QCD charges. Corresponding gluon propagator in Landau gauge is finite and nonzero, suggesting a mechanism of dynamical gluon mass generation is in the operation. In this paper, the…

High Energy Physics - Lattice · Physics 2015-05-27 Vladimir Sauli

We point out that SO($2N$) pure Yang-Mills theory provides a candidate for dark matter (DM) without the explicit need to impose any additional symmetry. The DM candidate is a particular type of glueball, which we refer to as a baryonic…

High Energy Physics - Phenomenology · Physics 2023-08-21 Masaki Yamada , Kazuya Yonekura

We study the finite-temperature phase of a gluon ensemble in a variational approximation to QCD in the Coulomb gauge. We derive and numerically solve the underlying Dyson-Schwinger equations up to one-loop order. Assuming the subcritical…

High Energy Physics - Theory · Physics 2011-11-10 Hugo Reinhardt , Davide R. Campagnari , Adam P. Szczepaniak

We compute the stress-tensor two-point function in three-dimensional Yang-Mills theory to three-loops in perturbation theory. Using its calculable shape at high momenta, we test the notion that its Borel transform is saturated at low…

High Energy Physics - Theory · Physics 2023-09-11 Simon Caron-Huot , Andrzej Pokraka , Zahra Zahraee