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The temperature dependence of the Landau gauge ghost propagator is investigated in pure SU(3) Yang-Mills theory with lattice QCD simulations. Its behavior around the confined-deconfined phase transition temperature, $T_c \sim 270$ MeV, is…

高能物理 - 格点 · 物理学 2023-07-18 V\'{\I}tor Paiva , Paulo J. Silva , Orlando Oliveira

We compute ghost and gluon propagators of Yang-Mills theory in the Landau gauge at non-vanishing temperature within a functional renormalisation group setting. We construct purely thermal flows, that project onto thermal fluctuations only.…

高能物理 - 唯象学 · 物理学 2011-12-23 Leonard Fister , Jan M. Pawlowski

Green's functions are a central element in the attempt to understand non-perturbative phenomena in Yang-Mills theory. Besides the propagators, 3-point Green's functions play a significant role, since they permit access to the running…

高能物理 - 格点 · 物理学 2007-05-23 Attilio Cucchieri , Axel Maas , Tereza Mendes

We present results for the propagators and the ghost-gluon vertex of Landau gauge Yang-Mills theory obtained from Dyson-Schwinger equations. Solving these three quantities simultaneously constitutes a new step in truncating these equations.…

高能物理 - 理论 · 物理学 2013-01-15 Markus Q. Huber , Lorenz von Smekal

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…

高能物理 - 理论 · 物理学 2010-04-21 Kei-Ichi Kondo

As has been recently realized, a certain two-point function $\Lambda$ -- and its associated form factors G and L -- play a prominent role in the PT-BFM formulation of the Schwinger-Dyson equations used to study gauge-invariantly the gluon…

高能物理 - 唯象学 · 物理学 2015-05-20 Daniele Binosi

The infrared behavior of Landau gauge gluon and ghost propagators are investigated in Yang-Mills theory at non-vanishing temperatures. Self-consistent solutions are presented for temperatures below the presumed phase transition and in the…

高能物理 - 唯象学 · 物理学 2017-08-23 Axel Maas , Jochen Wambach , Burghard Gruter , Reinhard Alkofer

In Landau gauge QCD the Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators are reviewed. It is demonstrated that the realization of this confinement criterion (which is closely…

核理论 · 物理学 2009-11-10 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

A semi-perturbative calculation of the ghost-gluon vertex in Landau gauge Yang-Mills theory in four and three Euclidean space-time dimensions is presented. Non-perturbative gluon and ghost propagators are employed, which have previously…

高能物理 - 唯象学 · 物理学 2007-05-23 Wolfgang Schleifenbaum , Axel Maas , Jochen Wambach , Reinhard Alkofer

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…

高能物理 - 唯象学 · 物理学 2008-11-26 Christian S. Fischer , Holger Gies

We investigate the low-order Green's functions of SU(N) Yang-Mills theory in Landau gauge, using a covariant variational principle based on the effective action formalism. Employing an approximation to the Faddeev-Popov determinant…

高能物理 - 理论 · 物理学 2014-04-02 Markus Quandt , Hugo Reinhardt , Jan Heffner

We report on recent numerical computations of the Landau gauge gluon and ghost propagators as well as of the ghost-gluon vertex function in pure SU(3) Yang-Mills theory and in full QCD on the lattice. Special emphasis is paid to the low…

高能物理 - 格点 · 物理学 2010-11-15 E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck , A. Schiller , I. L. Bogolubsky

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 $\xi$…

高能物理 - 唯象学 · 物理学 2015-04-16 A. C. Aguilar , D. Binosi , J. Papavassiliou

We present results for the gluon and ghost propagators and the ghost-gluon vertex obtained from Dyson-Schwinger equations. In the zero temperature case we elaborate on the role of the three-gluon vertex and discuss a model that can capture…

高能物理 - 格点 · 物理学 2013-11-05 Markus Q. Huber , Lorenz von Smekal

We investigate Landau gauge $SU(3)$ Yang-Mills theory in a systematic vertex expansion scheme for the effective action with the functional renormalisation group. Particular focus is put on the dynamical creation of the gluon mass gap at…

高能物理 - 唯象学 · 物理学 2016-09-12 Anton K. Cyrol , Leonard Fister , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

Vertices describe the interactions between the fundamental degrees of freedom, and are therefore of vital importance in many ab-initio descriptions of field theory, especially using functional methods. To this end, we present the first…

高能物理 - 格点 · 物理学 2014-10-01 Leonard Fister , Axel Maas

In this talk we review some recent results on the infrared properties of the gluon and ghost propagators in pure Yang-Mills theories. These results are obtained from the corresponding Schwinger-Dyson equation formulated in a special…

高能物理 - 唯象学 · 物理学 2010-12-15 Arlene C. Aguilar

The Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators in Landau gauge QCD are reviewed. The realization of this confinement criterion (which in Landau gauge relates to Zwanziger's…

高能物理 - 唯象学 · 物理学 2017-08-23 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

The ghost propagator in Landau gauge is studied at finite temperature below and above $T_c$ using lattice QCD simulations. For high temperatures, we find that the ghost propagator is enhanced, compared to the confined phase. The results…

高能物理 - 格点 · 物理学 2023-01-04 Orlando Oliveira , Vítor Paiva , Paulo Silva

Some features of the solutions to the truncated Dyson-Schwinger equations(DSEs) for the propagators of QCD in Landau gauge are summarized. In particular, the Kugo-Ojima confinement criterion is realized, and positivity of transverse gluons…

高能物理 - 唯象学 · 物理学 2009-10-31 Reinhard Alkofer , Lorenz von Smekal