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The Yang-Mills Schr\"odinger equation is solved in Coulomb gauge for the vacuum by the variational principle using an ansatz for the wave functional, which is strongly peaked at the Gribov horizon. A coupled set of Schwinger-Dyson equations…

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

We present the general derivation of the full non-perturbative equation that governs the momentum evolution of the dynamically generated gluon mass, in the Landau gauge. The entire construction hinges crucially on the inclusion of…

High Energy Physics - Phenomenology · Physics 2015-03-20 D. Binosi , D. Ibañez , J. Papavassiliou

The classical Yang-Mills equations are solved perturbatively in covariant gauge for a collision of two ultrarelativistic nuclei. The nuclei are taken as ensembles of classical color charges on eikonal trajectories. The classical gluon field…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yuri V. Kovchegov , Dirk H. Rischke

We study the nonperturbative gluon and ghost propagators in d=3 Yang-Mills, using the Schwinger-Dyson equations of the pinch technique. The use of the Schwinger mechanism leads to the dynamical generation of a gluon mass, which, in turn,…

High Energy Physics - Phenomenology · Physics 2011-08-04 Joannis Papavassiliou

In the d=3 gluon mass problem in pure-glue non-Abelian $SU(N)$ gauge theory we pay particular attention to the observed (in Landau gauge) violation of positivity for the spectral function of the gluon propagator. This causes a large bulge…

High Energy Physics - Phenomenology · Physics 2016-02-03 John M. Cornwall

The soft emission factor is a central ingredient in the factorization of generic $n$-particle gauge theory amplitudes with one soft gluon in the external state. We present the complete two-loop soft factor, capturing the leading power…

High Energy Physics - Phenomenology · Physics 2024-05-24 Lance J. Dixon , Enrico Herrmann , Kai Yan , Hua Xing Zhu

In this work, we investigate the effects of the ghost sector on the dynamical mass generation for the gauge boson of a pure Yang-Mills theory. The generation of a dynamical mass for the gluon is realized by the Schwinger mechanism, which is…

High Energy Physics - Phenomenology · Physics 2018-05-25 A. C. Aguilar , C. T. Figueiredo

Supersymmetric gauge theories are an important building block for extensions of the standard model. As a first step towards Super-QCD we investigate the pure gauge sector with gluons and gluinos on the lattice, in particular the low energy…

High Energy Physics - Lattice · Physics 2018-04-18 Marc Steinhauser , André Sternbeck , Björn Wellegehausen , Andreas Wipf

In this note we discuss a couple of technical issues relevant to solving the Dyson-Schwinger equation for the gluon propagator in Landau gauge Yang-Mills theory. In the deep infrared functional methods extract a one-parameter family of…

High Energy Physics - Phenomenology · Physics 2015-05-20 Christian S. Fischer , Lorenz von Smekal

We calculate the spectrum of glueball masses in non-supersymmetric Yang-Mills theory in three and four dimensions, based on a conjectured duality between supergravity and large N gauge theories. The glueball masses are obtained by solving…

High Energy Physics - Theory · Physics 2009-10-31 Csaba Csaki , Hirosi Ooguri , Yaron Oz , John Terning

Recent large-volume lattice simulations have established that, in the Landau gauge, the gluon propagator is infrared-finite. The most natural way to explain this observed finiteness is the generation of a nonperturbative, momentum-dependent…

High Energy Physics - Phenomenology · Physics 2012-08-27 David Ibanez

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

The three-gluon vertex is a fundamental ingredient of the intricate QCD dynamics, being inextricably connected to key nonperturbative phenomena, such as the emergence of a mass scale in the gauge sector of the theory. In this presentation,…

High Energy Physics - Phenomenology · Physics 2022-01-24 J. Papavassiliou , A. C. Aguilar , M. N. Ferreira

The implementation of the Schwinger mechanism endows gluons with a nonperturbative mass through the formation of special massless poles in the fundamental QCD vertices; due to their longitudinal character, these poles do not cause…

High Energy Physics - Phenomenology · Physics 2023-06-29 A. C. Aguilar , M. N. Ferreira , B. M. Oliveira , J. Papavassiliou , L. R. Santos

Motivated by the recent high-precision lattice data on Yang-Mills equations of state, we propose an effective theory of SU(3) gluonic matter. The theory is constructed based on the center and scale symmetries and their dynamical breaking,…

High Energy Physics - Phenomenology · Physics 2015-06-16 Chihiro Sasaki , Igor Mishustin , Krzysztof Redlich

We summarise results on the infrared behaviour of Landau gauge QCD from the Green's functions approach and lattice calculations. Approximate, nonperturbative solutions for the ghost, gluon and quark propagators as well as first results for…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Fischer , F. Llanes-Estrada , R. Alkofer

In this work we explore the applicability of a special gluon mass generating mechanism in the context of the linear covariant gauges. In particular, the implementation of the Schwinger mechanism in pure Yang-Mills theories hinges crucially…

High Energy Physics - Phenomenology · Physics 2017-03-10 A. C. Aguilar , D. Binosi , J. Papavassiliou

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 make progress towards a derivation of a low energy effective theory for SU(2) Yang-Mills theory. This low energy action is computed to 1-loop using the renormalization group technique, taking proper care of the Slavnov-Taylor identities…

High Energy Physics - Theory · Physics 2019-02-20 A. N. Efremov

The analytic structure of the non-perturbative gluon propagator contains information on the absence of gluons from the physical spectrum of the theory. We study this structure from numerical solutions in the complex momentum plane of the…

High Energy Physics - Phenomenology · Physics 2013-05-30 Stefan Strauss , Christian S. Fischer , Christian Kellermann
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