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Correlation functions of Yang-Mills theory in the Landau gauge are calculated from their equations of motion. The employed setup is completely parameter free and leads, within errors, to good quantitative agreement with corresponding…

高能物理 - 唯象学 · 物理学 2020-07-01 Markus Q. Huber

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

We present non-perturbative correlation functions in Landau-gauge Yang-Mills theory at finite temperature. The results are obtained from the functional renormalisation group within a self-consistent approximation scheme. In particular, we…

高能物理 - 唯象学 · 物理学 2018-03-20 Anton K. Cyrol , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

Yang-Mills theory is studied in three dimensions using the equations of motion of the $1$PI and $3$PI effective actions. The employed self-contained truncation includes the propagators, the three-point functions and the four-gluon vertex…

高能物理 - 理论 · 物理学 2016-06-08 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…

高能物理 - 理论 · 物理学 2013-12-16 Marcela Pelaez , Matthieu Tissier , Nicolas Wschebor

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…

高能物理 - 理论 · 物理学 2016-05-13 Markus Q. Huber

We solve the Dyson-Schwinger equations of the ghost and gluon propagators of Landau gauge Yang-Mills theory together with that of the ghost-gluon vertex. The latter plays a central role in many truncation schemes for functional equations.…

高能物理 - 理论 · 物理学 2013-06-25 Markus Q. Huber , Lorenz von Smekal

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.

高能物理 - 唯象学 · 物理学 2019-09-25 Markus Q. Huber

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 calculate the dressed gluon and ghost propagators of Landau gauge Yang-Mills theory in the complex momentum plane from their Dyson-Schwinger equations. To this end, we develop techniques for a direct calculation such that no…

高能物理 - 唯象学 · 物理学 2020-11-18 Christian S. Fischer , Markus Q. Huber

We calculate the three-point functions of pure Landau gauge QCD and investigate their influence on the propagators. As expected, the ghost-gluon vertex leads only to minor modifications, while the three-gluon vertex has a sizeable impact on…

高能物理 - 唯象学 · 物理学 2014-01-22 Markus Q. Huber , Adrian Lorenz Blum , Mario Mitter , Lorenz von Smekal

We investigate the Dyson-Schwinger equations for the gluon and ghost propagators and the ghost-gluon vertex of Landau-gauge gluodynamics in two dimensions. While this simplifies some aspects of the calculations as compared to three and four…

高能物理 - 理论 · 物理学 2012-11-20 Markus Q. Huber , Axel Maas , Lorenz von Smekal

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

The Landau-gauge gluon and ghost correlation functions obtained in lattice simulations can be reproduced qualitatively and, to a certain extent, quantitatively if a gluon mass is added to the standard Faddeev-Popov action. This has been…

高能物理 - 理论 · 物理学 2021-11-29 John A. Gracey , Marcela Peláez , Urko Reinosa , Matthieu Tissier

The ghost and gluon propagator and the ghost-gluon and three-gluon vertex of two-dimensional SU(2) Yang-Mills theory in (minimal) Landau gauge are studied using lattice gauge theory. It is found that the results are qualitatively similar to…

高能物理 - 格点 · 物理学 2008-11-26 Axel Maas

We calculate gluon and ghost propagators in Yang-Mills theory in linear covariant gauges. To that end, we utilize Nielsen identities with Landau gauge propagators and vertices as the starting point. We present and discuss numerical results…

高能物理 - 唯象学 · 物理学 2021-09-08 Martin Napetschnig , Reinhard Alkofer , Markus Q. Huber , Jan M. Pawlowski

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…

高能物理 - 唯象学 · 物理学 2010-11-11 Matthieu Tissier , Nicolas Wschebor

We investigate BRST invariance in Landau gauge Yang-Mills theory with functional methods. To that end, we solve the coupled system of functional renormalisation group equations for the momentum-dependent ghost and gluon propagator,…

高能物理 - 理论 · 物理学 2022-08-26 Jan M. Pawlowski , Coralie S. Schneider , Nicolas Wink

Yang-Mills theories are an important building block of the standard model and in particular of quantum chromodynamics. Its correlation functions describe the behavior of its elementary particles, the gauge bosons. In quantum chromodynamics,…

高能物理 - 唯象学 · 物理学 2020-04-23 Markus Q. Huber

Two correlation functions of Yang-Mills beyond the primitively divergent ones, the two-ghost-two-gluon and the four-ghost vertices, are calculated and their influence on lower vertices is examined. Their full (transverse) tensor structure…

高能物理 - 唯象学 · 物理学 2017-12-06 Markus Q. Huber
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