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Related papers: Physics of the gluon mass gap

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Quenched lattice-QCD data on the dressed-quark Schwinger function can be correlated with dressed-gluon data via a rainbow gap equation so long as that equation's kernel possesses enhancement at infrared momenta above that exhibited by the…

Nuclear Theory · Physics 2010-03-04 M. S. Bhagwat , M. A. Pichowsky , C. D. Roberts , P. C. Tandy

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 summarize the current status of our numerical results for the gluon and ghost propagators and for the Kugo-Ojima confinement parameter in quenched SU(3) lattice Landau gauge theory. The data for the propagators are compared to our…

High Energy Physics - Lattice · Physics 2009-09-29 A. Sternbeck , E. -M. Ilgenfritz , M. Müller-Preussker , A. Schiller , I. L. Bogolubsky

Physics is an experimental science; and a constructive feedback between theory and extant and forthcoming experiments is necessary if an understanding of nonperturbative QCD is to be achieved. The Dyson-Schwinger equations connect…

Nuclear Theory · Physics 2012-01-20 Lei Chang , Craig D. Roberts , David J. Wilson

In quantum chromodynamics (QCD), the vacuum structures are taken to be formed by nonperturbative interactions between gluons. The contributions of gluonic interactions can be parametrized by gluon condensates and especially the dimension-2…

High Energy Physics - Theory · Physics 2015-04-02 Su Kyeong Lee , Eun-Joo Kim , Jong Bum Choi

The infrared behavior of gluon and ghost propagators in Yang-Mills gauge theories is of central importance for the understanding of confinement in QCD. While analytic studies using Schwinger-Dyson equations predict the same infrared…

High Energy Physics - Lattice · Physics 2008-11-26 Attilio Cucchieri , Tereza Mendes. Orlando Oliveira , Paulo J. Silva

In this article we derive the integral equation that controls the momentum dependence of the effective gluon mass in the Landau gauge. This is accomplished by means of a well-defined separation of the corresponding "one-loop dressed"…

High Energy Physics - Phenomenology · Physics 2013-05-29 A. C. Aguilar , D. Binosi , J. Papavassiliou

We study the non-perturbative behavior of two versions of the QCD effective charge, one obtained from the pinch technique gluon self-energy, and one from the ghost-gluon vertex. Despite their distinct theoretical origin, due to a…

High Energy Physics - Phenomenology · Physics 2009-10-29 A. C. Aguilar , D. Binosi , J. Papavassiliou , J. Rodriguez-Quintero

We show that the gauge invariant treatment of the Schwinger-Dyson equations of QCD leads to an infrared finite gluon propagator, signaling the dynamical generation of an effective gluon mass, and a non-enhanced ghost propagator, in…

High Energy Physics - Phenomenology · Physics 2009-04-14 A. C. Aguilar , D. Binosi , J. Papavassiliou

In this article we use the Schwinger-Dyson equations to compute the nonperturbative modifications caused to the infrared finite gluon propagator (in the Landau gauge) by the inclusion of a small number of quark families. Our basic operating…

High Energy Physics - Phenomenology · Physics 2015-06-04 A. C. Aguilar , D. Binosi , J. Papavassiliou

Recently there has been progress in the understanding of the confinement mechanism in Landau gauge QCD. The emerging dynamical description in terms of the underlying gauge dependent degrees of freedom goes beyond the static confinement in…

High Energy Physics - Phenomenology · Physics 2009-06-25 Kai Schwenzer

We study the confinement physics in QCD in the maximally abelian (MA) gauge using the SU(2) lattice QCD, based on the dual-superconductor picture. In the MA gauge, off-diagonal gluon components are forced to be small, and the off-diagonal…

High Energy Physics - Lattice · Physics 2009-09-25 Hideo Suganuma , Hiroko Ichie , Kazuhisa Amemiya , Atsunori Tanaka

The possibility that gauge theories with chiral symmetry breaking below the conformal window exhibit an infrared fixed point is explored. With this assumption three aspects of pion physics are reproduced if the the quark mass anomalous…

High Energy Physics - Phenomenology · Physics 2023-08-16 Roman Zwicky

In this note we discuss a couple of technical issues relevant to solving the Dyson-Schwinger equation for the gluon propagator in Landau gauge Yang-Mills theory. In the deep infrared functional methods extract a one-parameter family of…

High Energy Physics - Phenomenology · Physics 2015-05-20 Christian S. Fischer , Lorenz von Smekal

We study the gluon propagator in Landau gauge in the deconfined phase of $SU(2)$ gauge theory. From the long-distance behaviour of correlation functions of temporal and spatial components of the gauge fields we extract electric ($m_e$) and…

High Energy Physics - Lattice · Physics 2009-10-28 Urs M. Heller , ; Frithjof Karsch , Joern Rank

The chiral symmetry breaking transition of quarks in the fundamental and adjoint representation is studied in a model where the gap equation contains two contributions, one containing a confining propagator and another corresponding to the…

High Energy Physics - Phenomenology · Physics 2014-01-09 R. M. Capdevilla , A. Doff , A. A. Natale

Assuming that a non-trivial quantum Yang-Mills theory exists, we have proved that it should have a mass gap $\Delta^2 > 0$, indeed. The proof is based on the derivation of the novel constraint on any solution to QCD. It has been exactly and…

High Energy Physics - Theory · Physics 2026-05-19 V. Gogokhia , Barnaföldi Gergely Gábor

We study the necessary conditions for obtaining infrared finite solutions from the Schwinger-Dyson equation governing the dynamics of the gluon propagator. The equation in question is set up in the Feynman gauge of the background field…

High Energy Physics - Phenomenology · Physics 2008-11-26 Arlene C. Aguilar , Joannis Papavassiliou

We investigate dynamical chiral symmetry breaking in unquenched ${QED}_3$ using the coupled set of Dyson--Schwinger equations for the fermion and photon propagators. For the fermion-photon interaction we employ an ansatz which satisfies its…

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

We elucidate constraints imposed by confinement and dynamical chiral symmetry breaking on the infrared behaviour of the dressed-quark and -gluon propagators, and dressed-quark-gluon vertex. In covariant gauges the dressing of the gluon…

Nuclear Theory · Physics 2010-03-04 Frederick T. Hawes , Pieter Maris , Craig D. Roberts
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