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Two popular perspectives on the non-perturbative domain of Yang-Mills theories are either in terms of the gluons themselves or in terms of collective gluonic excitations, i.e. topological excitations. If both views are correct, then they…

High Energy Physics - Lattice · Physics 2015-03-19 Axel Maas

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 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…

High Energy Physics - Phenomenology · Physics 2014-01-22 Markus Q. Huber , Adrian Lorenz Blum , Mario Mitter , Lorenz von Smekal

We determine the gluonic spectral function $SU(3)$ Yang-Mills theory as well as we found fermionic spectral functions in the strong quenched QED where we found new solutions. Our novel technique provides solutions with the usual branch cut…

High Energy Physics - Lattice · Physics 2023-01-03 Vladimir Sauli

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

Most discussions of propagators in Lee-Wick theories focus on the presence of two massive complex conjugate poles in the propagator. We show that there is in fact only one pole near the physical region, or in another representation three…

High Energy Physics - Theory · Physics 2019-04-03 John F. Donoghue , Gabriel Menezes

In this work we study the behaviour of Yang--Mills--Chern--Simons theory coupled to a Higgs field in the fundamental representation by taking into account the effects of the presence of the Gribov horizon. By analyzing the infrared…

High Energy Physics - Theory · Physics 2016-01-20 Arturo J. Gomez , Sebastian Gonzalez , Silvio P. Sorella

We compute correlation functions of three-dimensional Landau-gauge Yang-Mills theory with the Functional Renormalisation Group. Starting from the classical action as only input, we calculate the non-perturbative ghost and gluon propagators…

High Energy Physics - Phenomenology · Physics 2018-12-26 Lukas Corell , Anton K. Cyrol , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

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.…

High Energy Physics - Theory · Physics 2013-06-25 Markus Q. Huber , Lorenz von Smekal

G_2 Yang--Mills theory is an interesting laboratory to investigate non-perturbative effects. On one hand, no conventional quark confinement via a linearly rising potential is present. On the other hand, its thermodynamic properties are…

High Energy Physics - Lattice · Physics 2009-01-06 Axel Maas , Stefan Olejnik

We present a strong coupling expansion that permits to develop analysis of quantum field theory in the infrared limit. Application to a quartic massless scalar field gives a massive spectrum and the propagator in this regime. We extend the…

High Energy Physics - Phenomenology · Physics 2009-03-17 Marco Frasca

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…

High Energy Physics - Phenomenology · Physics 2020-07-01 Markus Q. Huber

We derive a gauge-invariant low-energy effective model of the Yang-Mills theory. We find that the effective gluon propagator belongs to the Gribov-Stingl type and agrees with it when a mass term which breaks nilpotency of the BRST symmetry…

High Energy Physics - Theory · Physics 2015-05-27 Kei-Ichi Kondo

We derive the Polyakov-loop thermodynamic potential in the perturbative approach to pure SU(3) Yang-Mills theory. The potential expressed in terms of the Polyakov loop in the fundamental representation corresponds to that of the…

High Energy Physics - Phenomenology · Physics 2013-12-16 Chihiro Sasaki

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…

High Energy Physics - Phenomenology · Physics 2010-12-15 Arlene C. Aguilar

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…

High Energy Physics - Lattice · Physics 2008-11-26 Axel Maas

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…

High Energy Physics - Phenomenology · Physics 2017-12-06 Markus Q. Huber

Analytical functions for the propagators of QCD, including a set of chiral quarks, are derived by a one-loop massive expansion in the Landau gauge, and are studied in Minkowski space, yielding a direct proof of positivity violation and…

High Energy Physics - Phenomenology · Physics 2017-04-04 Fabio Siringo

We derive the Polyakov-loop thermodynamic potential in the perturbative approach to pure SU(3) Yang-Mills theory. The potential expressed in terms of the Polyakov loop in the fundamental representation corresponds to that of the…

High Energy Physics - Phenomenology · Physics 2013-02-01 Chihiro Sasaki , Krzysztof Redlich

The present work discusses an approach to access the physical spectrum of the Yang-Mills theory quantized in the Landau gauge. By using recent lattice data on the gluon propagator, it is possible to study the two-point functions of gauge…

High Energy Physics - Theory · Physics 2011-09-06 Silvio P. Sorella , David Dudal , Marcelo S. Guimaraes , Nele Vandersickel