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The SU(2) gluon propagator in Landau gauge is studied on the lattice. Our gauge fixing procedure employs simulated annealing and Z(2)-flips. It finds higher maxima of the gauge functional compared with those obtained with the standard…

High Energy Physics - Lattice · Physics 2008-11-26 I. L. Bogolubsky , V. G. Bornyakov , G. Burgio , E. -M. Ilgenfritz , M. Müller-Preussker , P. Schemel , V. K. Mitrjushkin

The development of a Modified Perturbation Theory for QCD, introduced in previous works, is continued. The gluon propagator is modified as consequence of a soft gluon pairs condensate in the vacuum. The modified Feynman rules for $\alpha=1$…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marcos Rigol

We study the non-perturbative production of gluon pairs from a constant SU(3) chromo-electric background field via the Schwinger mechanism. We fix the covariant background gauge with an arbitrary gauge parameter \alpha. We determine the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Fred Cooper , Gouranga C. Nayak

We study dynamical mass generation in pure Yang-Mills theory and report on a recently developed ansatz that exactly solves the tower of Dyson-Schwinger equations in Landau gauge at low Euclidean momentum, featuring enhanced gluon-gluon…

The implementation of the Schwinger mechanism endows gluons with a nonperturbative mass through the formation of special massless poles in the fundamental QCD vertices; due to their longitudinal character, these poles do not cause…

High Energy Physics - Phenomenology · Physics 2023-06-29 A. C. Aguilar , M. N. Ferreira , B. M. Oliveira , J. Papavassiliou , L. R. Santos

We have shown in detail that the low-temperature expansion for the non-perturbative gluon pressure has the Hagedorn-type structure. Its exponential spectrum of all the effective gluonic excitations are expressed in terms of the mass gap. It…

High Energy Physics - Phenomenology · Physics 2018-05-18 V. Gogokhia , A. Shurgaia , M. Vasuth

The infrared behaviour of Landau gauge QCD vertex functions is investigated employing a skeleton expansion of the Dyson-Schwinger and Renormalization Group equations. Results for the ghost-gluon, three-gluon, four-gluon and quark-gluon…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , C. S. Fischer , F. Llanes-Estrada , K. Schwenzer

We discuss some phenomenological applications of an infrared finite gluon propagator characterized by a dynamically generated gluon mass. In particular we compute the effect of the dynamical gluon mass on $pp$ and ${\bar{p}}p$ diffractive…

High Energy Physics - Phenomenology · Physics 2011-08-04 E. G. S. Luna

We report on the infrared limit of the quenched lattice Landau gauge gluon and ghost propagators as well as the strong coupling constant computed from large asymmetric lattices. The infrared lattice propagators are compared with the pure…

High Energy Physics - Lattice · Physics 2008-11-26 O. Oliveira , P. J. Silva

The dynamical mass generation for gluons is discussed in Euclidean Yang-Mills theories supplemented with a renormalizable mass term. The mass parameter is not free, being determined in a self-consistent way through a gap equation which…

High Energy Physics - Theory · Physics 2015-06-26 S. P. Sorella

A truncation scheme for the Dyson-Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov-Taylor identities for the 3-point vertex functions. Neglecting contributions from 4-point correlations such as the…

High Energy Physics - Phenomenology · Physics 2011-04-15 Reinhard Alkofer , Steven Ahlig , Lorenz von Smekal

We show that in pure gauge QCD (or any pure non-Abelian gauge theory) the condition for the existence of a global minimum of energy with a gluon (gauge boson) mass scale also implies the existence of a fixed point of the $\beta$ function.…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. C. Aguilar , A. A. Natale , P. S. Rodrigues da Silva

Using the Schwinger-Dyson equations the possible infrared behaviour of the gluon propagator is studied. Previous work performed in axial gauges is reviewed, the approximations needed detailed and the difficulties of their justification…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kirsten Büttner

The Bethe-Salpeter equation in QCD connects the gauge-dependent gluon and quark degrees of freedom with the gauge-invariant properties of mesons. We study the rho meson mass and decay constant for various versions of the gauge-dependent…

High Energy Physics - Phenomenology · Physics 2011-02-18 Martina Blank , A. Krassnigg , Axel Maas

The possible infrared behaviour of the gluon propagator is studied analytically, using the Schwinger-Dyson equations, in both the axial and the Landau gauge. The possibility of a gluon propagator less singular than $1/k^{2}$ when $k^{2}…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kirsten Büttner , M. R. Pennington

In this work, we investigate the effects of the ghost sector on the dynamical mass generation for the gauge boson of a pure Yang-Mills theory. The generation of a dynamical mass for the gluon is realized by the Schwinger mechanism, which is…

High Energy Physics - Phenomenology · Physics 2018-05-25 A. C. Aguilar , C. T. Figueiredo

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…

High Energy Physics - Phenomenology · Physics 2009-10-31 Reinhard Alkofer , Lorenz von Smekal

We show that the Nielsen-Olesen instability of the Savvidy vacuum with a homogeneous chromomagnetic condensation disappears in the framework of the functional renormalization group. This result follows from our observations: (i) the…

High Energy Physics - Theory · Physics 2015-06-17 Kei-Ichi Kondo

We investigate gluon propagators and the effective mass of the gluon fields in the MA gauge with U(1)$_3 \times$ U(1)$_8$ Landau gauge fixing in SU(3) lattice QCD. The Monte Carlo simulation is performed on $16^4$ at $\beta$=5.7, 5.8 and…

High Energy Physics - Lattice · Physics 2013-01-15 Shinya Gongyo , Hideo Suganuma , Takumi Iritani

We present an analytic description of numerical results for the Landau-gauge SU(2) gluon propagator D(p^2), obtained from lattice simulations (in the scaling region) for the largest lattice sizes to date, in d = 2, 3 and 4 space-time…

High Energy Physics - Lattice · Physics 2013-05-30 Attilio Cucchieri , David Dudal , Tereza Mendes , Nele Vandersickel