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Related papers: U_A(1) anomaly and eta' mass from an infrared sing…

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We present a detailed analysis of the kinetic and mass terms associated with the Landau gauge gluon propagator in the presence of dynamical quarks, and a comprehensive dynamical study of certain special kinematic limits of the three-gluon…

High Energy Physics - Phenomenology · Physics 2020-03-18 A. C. Aguilar , F. De Soto , M. N. Ferreira , J. Papavassiliou , J. Rodríguez-Quintero , S. Zafeiropoulos

The QCD gauge field is modeled as an ensemble of statistically independent selfdual and antiselfdual regions. This model is motivated from instanton physics. The scale anomaly then allows to relate the topological susceptibility to the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Marcus Hutter

We investigate the infrared behaviour of gluon and ghost propagators in Landau gauge QCD by means of an exact renormalisation group equation. We explain how, in general, the infrared momentum structure of Green functions can be extracted…

High Energy Physics - Theory · Physics 2009-11-10 Jan M. Pawlowski , Daniel F. Litim , Sergei Nedelko , Lorenz von Smekal

We study the gluon propagator in the Landau gauge in SU(3) lattice QCD at $\beta$=5.7, 5.8 and 6.0 at the quenched level. The Euclidean Landau-gauge gluon propagator $D(r)\equiv D_{\mu\mu}^{aa}(x)/24$ is found to be well described by…

High Energy Physics - Lattice · Physics 2011-03-31 Hideo Suganuma , Takumi Iritani , Arata Yamamoto , Hideaki Iida

Using the Dyson-Schwinger approach we investigate Landau gauge QCD with a relatively large number of chiral quark flavours. A self-consistent treatment on the propagator level enables us to study unquenching effects via the quark loop…

High Energy Physics - Phenomenology · Physics 2014-05-29 Markus Hopfer , Christian S. Fischer , Reinhard Alkofer

The infrared properties of lattice Landau gauge QCD of SU(3) are studied by measuring gluon propagator, ghost propagator, QCD running coupling and Kugo-Ojima parameter of $\beta=6.0, 16^4,24^4,32^4$ and $\beta=6.4, 32^4,48^4$ lattices. We…

High Energy Physics - Lattice · Physics 2009-11-10 Hideo Nakajima , Sadataka Furui

In Landau gauge QCD the infrared behavior of the propagator of transverse gluons can be analytically determined to be a power law from Dyson-Schwinger equations. This propagator clearly shows positivity violation, indicating the absence of…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , W. Detmold , C. S. Fischer , P. Maris

The Dyson-Schwinger quark equation is solved for the quark-gluon vertex using the most recent lattice data available in the Landau gauge for the quark, gluon and ghost propagators, the full set of longitudinal tensor structures in the…

High Energy Physics - Phenomenology · Physics 2019-02-20 O. Oliveira , W. de Paula , T. Frederico , J. P. B. C de Melo

We employ a functional approach to investigate the confinement problem in quenched Landau gauge QCD. We demonstrate analytically that a linear rising potential between massive quarks is generated by infrared singularities in the dressed…

High Energy Physics - Phenomenology · Physics 2010-10-27 Reinhard Alkofer , Christian S. Fischer , Felipe J. Llanes-Estrada

Within the increasing experimental evidence of the existence of the I=0 scalar low mass and wide \sigma meson, we review the {\it first} analysis of its quark and gluon substructure from QCD spectral sum rules and some low-energy theorems.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stephan Narison

We present approximate non-perturbative solutions for the propagators as well as the running coupling of QCD from a coupled system of renormalised, truncated Dyson--Schwinger equations. We employ ansaetze for the dressed vertices such that…

High Energy Physics - Phenomenology · Physics 2009-09-29 Christian S. Fischer

2-color QCD, i. e. QCD with the gauge group SU(2), is the simplest non-Abelian gauge theory without sign problem at finite quark density. Therefore its study on the lattice is a benchmark for other non-perturbative approaches at finite…

High Energy Physics - Lattice · Physics 2018-04-18 Ouraman Hajizadeh , Tamer Boz , Axel Maas , Jon-Ivar Skullerud

We investigate different aspects of lattice QCD in Landau gauge using Monte Carlo simulations. In particular, we focus on the low momentum behavior of gluon and ghost propagators. The gauge group is SU(3). Different systematic effects on…

High Energy Physics - Lattice · Physics 2007-05-23 Andre Sternbeck

With the aim of looking for signatures of deconfinement, the poles and the spectral function of the Landau-gauge gluon propagator are investigated at one loop, vanishing spatial momentum and finite temperature within the framework of the…

High Energy Physics - Theory · Physics 2025-11-11 Giorgio Comitini

The coupled system of the quark-gluon vertex and quark propagator Dyson-Schwinger equations (DSEs) is investigated within Landau gauge QCD. The aim is to get a deeper insight into the mechanisms of quark confinement and dynamical chiral…

High Energy Physics - Phenomenology · Physics 2013-01-17 Markus Hopfer , Andreas Windisch , Reinhard Alkofer

We propose a mechanism which explains the masses of $\eta$ and $\eta'$ mesons without invoking the explicit violation of $U(1)_A$ symmetry by the chiral anomaly. It is shown that the U(1) problem, the problem for which the prediction of…

High Energy Physics - Phenomenology · Physics 2024-11-06 Nodoka Yamanaka

Using SU(3) lattice QCD, we investigate role of spatial gluons for hadron masses in the Coulomb gauge, considering the relation between QCD and the quark model. From the Coulomb-gauge configurations at the quenched level on a $16^3 \times…

High Energy Physics - Lattice · Physics 2023-01-11 Hiroki Ohata , Hideo Suganuma

We study the Landau gauge gluon propagators in dense two-color QCD at quark chemical potential, $\mu_q$, in the range from 0.5 to 1.0 GeV not reachable by the perturbative method at weak coupling. In order to take into account the…

High Energy Physics - Phenomenology · Physics 2019-10-30 Daiki Suenaga , Toru Kojo

We study in detail the impact of dynamical quarks on the gluon mass generation mechanism, in the Landau gauge, for the case of a small number of quark families. As in earlier considerations, we assume that the main bulk of the unquenching…

High Energy Physics - Phenomenology · Physics 2013-10-17 A. C. Aguilar , D. Binosi , J. Papavassiliou

We revisit the $U(1)_A$ anomaly in the holographic model of low-energy QCD by Witten, Sakai, and Sugimoto, presenting a new and direct derivation of the Witten-Veneziano mechanism for generating the mass of the $\eta'$ through an anomalous…

High Energy Physics - Theory · Physics 2020-01-15 Josef Leutgeb , Anton Rebhan