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The low momentum behavior of the Landau gauge Gribov-Zwanziger action is investigated using the respective Dyson-Schwinger equations. Because of the mixing of the gluon and the auxiliary fields four scenarios can be distinguished for the…

High Energy Physics - Theory · Physics 2010-04-06 Markus Q. Huber , Reinhard Alkofer , Silvio P. Sorella

We consider the gluon propagator $D(p^2)$ at various lattice sizes and spacings in the case of pure SU(3) Yang-Mills gauge theories using the Landau gauge fixing. We discuss a class of fits in the infrared region in order to (in)validate…

High Energy Physics - Lattice · Physics 2010-04-22 D. Dudal , O. Oliveira , N. Vandersickel

It is a long-standing question whether the confinement of matter fields in QCD has an imprint in the (gauge-dependent) correlation functions, especially the propagators. In particular in the quenched case a fundamental difference could be…

High Energy Physics - Lattice · Physics 2019-03-28 Axel Maas

The infrared behavior of gluon and ghost propagators in Landau gauge Yang-Mills theory has been at the center of an intense debate over the last decade. Different solutions of the Dyson-Schwinger equations show a different behavior of the…

High Energy Physics - Theory · Physics 2015-06-05 Axel Weber

We construct the gauge-invariant electric and magnetic charges in Yang-Mills theory coupled to cosmological General Relativity (or any other geometric gravity), extending the flat spacetime construction of Abbott and Deser. For…

High Energy Physics - Theory · Physics 2021-07-29 Emel Altas , Ercan Kilicarslan , Bayram Tekin

In this paper we take into account the existence of Gribov copies in a four-dimensional Yang-Mills theory in the Landau gauge with an effective Lorentz symmetry breaking, induced by the Carroll-Field-Jackiw (CFJ) term. The self consistent…

High Energy Physics - Theory · Physics 2020-01-22 D. R. Granado , I. F. Justo , A. Yu. Petrov

Chern-Simons theory is analyzed with a gauge-fixing which allows to discuss the Landau gauge and the light-cone gauge at the same time.

High Energy Physics - Theory · Physics 2009-10-22 K. Landsteiner , M. Langer , M. Schweda , S. P. Sorella

A variety of unitary gauges for perturbation theory in a background field is considered in order to find those most suitable for a Hamiltonian treatment of the system. We select two convenient gauges and derive the propagators $D_{\mu\nu}$…

High Energy Physics - Theory · Physics 2007-05-23 A. Dubin , D. Wyler

We address the problem of the gauge fixing versus Gribov copies in lattice gauge theories. For the Landau gauge, results show that a suitable combination of evolutionary algorithms with traditional steepest descent methods identifies the…

High Energy Physics - Lattice · Physics 2015-06-25 O. Oliveira , P. J. Silva

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…

High Energy Physics - Theory · Physics 2014-04-02 Markus Quandt , Hugo Reinhardt , Jan Heffner

Recently, based on a new procedure to quantize the theory in the continuum, it was argued that Singer's theorem points towards the existence of a Yang-Mills ensemble. In the new approach, the gauge fields are mapped into an auxiliary field…

High Energy Physics - Theory · Physics 2021-06-16 D. Fiorentini , D. R. Junior , L. E. Oxman , G. M. Simões , R. F. Sobreiro

Lie algebroid Yang-Mills theories are a generalization of Yang-Mills gauge theories, replacing the structural Lie algebra by a Lie algebroid E. In this note we relax the conditions on the fiber metric of E for gauge invariance of the action…

High Energy Physics - Theory · Physics 2009-11-09 Christoph Mayer , Thomas Strobl

We discuss the properties of ghost and gluon propagators in the deep infrared momentum region of Landau gauge Yang-Mills theory. Within the framework of Dyson-Schwinger equations and the functional renormalization group we demonstrate that…

High Energy Physics - Phenomenology · Physics 2010-04-30 Christian S. Fischer , Axel Maas , Jan M. Pawlowski

The dependence of the gluon and ghost propagator in pure SU(3) gauge theory on the choice of Gribov copies in Landau gauge is studied. Simulations were performed on several lattice sizes at $\beta$=5.8, 6.0 and 6.2. In the infrared region…

High Energy Physics - Lattice · Physics 2007-08-30 A. Sternbeck , E. -M. Ilgenfritz , M. Mueller-Preussker , A. Schiller

We study the problem of the Landau gauge fixing in the case of the SU(2) lattice gauge theory. We show that the probability to find a lattice Gribov copy increases considerably when the physical size of the lattice exceeds some critical…

High Energy Physics - Lattice · Physics 2007-05-23 A. Y. Lokhov , O. Pène , C. Roiesnel

Several analytic approaches predict for SU(N_c) Yang-Mills theories in Landau gauge an enhanced ghost propagator G(p^2) and a suppressed gluon propagator D(p^2) at small momenta. This prediction applies to two, three and four space-time…

High Energy Physics - Lattice · Physics 2011-05-05 Attilio Cucchieri , Tereza Mendes

The gluon propagator in Landau gauge is calculated in quenched QCD on a large (32^3X64) lattice at beta=6.0. In order to assess finite volume and finite lattice spacing artefacts, we also calculate the propagator on a smaller volume for two…

High Energy Physics - Lattice · Physics 2007-05-23 D. B. Leinweber , J. I. Skullerud , A. G. Williams

Pure Yang-Mills SU(N) theory is studied in the Landau gauge and four dimensional space. While leaving the original Lagrangian unmodified, a double perturbative expansion is devised, based on a massive free-particle propagator. In…

High Energy Physics - Phenomenology · Physics 2016-06-03 Fabio Siringo

In many BSM theories, especially GUTs, introducing a Brout-Englert-Higgs effect allows for multiple breaking patterns of the gauge symmetry. The possibility to select a particular pattern is usually decisive for the phenomenological…

High Energy Physics - Lattice · Physics 2023-08-09 Elizabeth Dobson , Axel Maas , Bernd Riederer

In previous works, we have shown that the Gribov-Zwanziger action, which implements the restriction of the domain of integration in the path integral to the Gribov region, generates extra dynamical effects which influence the infrared…

High Energy Physics - Theory · Physics 2009-10-06 D. Dudal , S. P. Sorella , N. Vandersickel , H. Verschelde
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