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We discuss the quantum-mechanical scattering of a massless scalar field on a $\delta$-potential in a ghost-free theory and obtain analytic solutions for the scattering coefficients. Due to the non-locality of the ghost-free theory the…

High Energy Physics - Theory · Physics 2018-06-26 Jens Boos , Valeri P. Frolov , Andrei Zelnikov

A closed system of equations for the propagators of Landau gauge QCD is obtained in a truncation scheme for their Dyson-Schwinger equations which implements the Slavnov-Taylor identities for the 3-point vertex functions while neglecting…

High Energy Physics - Phenomenology · Physics 2007-05-23 Reinhard Alkofer , Steven Ahlig , Lorenz von Smekal

We report on the infrared limit of the quenched lattice Landau gauge gluon propagator computed from large asymmetric lattices. In particular, the compatibility of the pure power law infrared solution $(q^2)^{2\kappa}$ of the Dyson-Schwinger…

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

Recent progress in the solution of Schwinger-Dyson equations (SDE), as well as lattice simulation of pure glue QCD, indicate that the gluon propagator and coupling constant are infrared (IR) finite. We discuss how this non-perturbative…

High Energy Physics - Phenomenology · Physics 2011-07-14 A. A. Natale

We compute the greybody factors for non-minimally coupled scalar fields in four-dimensional Schwarzschild-de Sitter spacetime. In particular, we demonstrate that the zero-angular-momentum greybody factor generically tends to zero in the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Luís C. B. Crispino , Atsushi Higuchi , Ednilton S. Oliveira , Jorge V. Rocha

We present the graviton propagator for an infinite derivative, $D$-dimensional, non-local action, up to quadratic order in curvature around a Minkowski background, and discuss the conditions required for this class of gravity theory to be…

High Energy Physics - Theory · Physics 2015-12-30 Aindriu Conroy , Anupam Mazumdar , Spyridon Talaganis , Ali Teimouri

The equation for the gluon propagator in the approach of Baker-Ball-Zachariasen is considered. The possibility of non-integer power infrared behaviour is studied, $D(q) \sim (q^2)^{-c}$, $q^2 \rightarrow 0$. It is shown that the…

High Energy Physics - Theory · Physics 2007-05-23 A. I. Alekseev

We have found ultraviolet asymptotic slutions of the Schwinger-Dyson equation for the gluon and ghost propagators which have simultaneously the perturbative logarithmic correction and the non-perturbative $1/p^2$ power correction. By…

High Energy Physics - Lattice · Physics 2009-11-10 Takeharu Murakami , Kei-Ichi Kondo , Toru Shinohara , Akihiro Shibata

Continuum and lattice analyses have revealed the existence of a mass-scale in the gluon two-point Schwinger function. It has long been conjectured that this expresses the action of a Schwinger mechanism for gauge boson mass generation in…

High Energy Physics - Phenomenology · Physics 2023-05-03 A. C. Aguilar , F. De Soto , M. N. Ferreira , J. Papavassiliou , F. Pinto-Gómez , C. D. Roberts , J. Rodríguez-Quintero

Implications stemming from the inclusion of non-perturbative, confinining effects, as contained in the Stochastic Vacuum Model of Dosch and Simonov, are considered in the context of a, hypothetical, quark-quark `scattering process' in the…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. I. Karanikas , C. N. Ktorides

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 the application of the pinch technique to the conventional Schwinger-Dyson equations for the gluon propagator, gluon-quark vertex, and three-gluon vertex, gives rise to new equations endowed with special properties. The new…

High Energy Physics - Phenomenology · Physics 2011-07-20 D. Binosi , J. Papavassiliou

We discuss the recent progress made in understanding how some fundamental results valid in the quenched infrared sector of non-Abelian Yang-Mills theories generalize to the unquenched case. In particular, we derive in the continuum an…

High Energy Physics - Phenomenology · Physics 2013-01-14 D. Binosi

We report results on the Coulomb-gauge ghost propagator and the color-Coulomb potential computed in two lattice gauge-field ensembles: (1) configurations derived from our recently proposed Yang-Mills vacuum wave functional in 2+1…

High Energy Physics - Lattice · Physics 2011-03-04 J. Greensite , S. Olejnik

Dynamical chiral-symmetry breaking in QCD is studied with the Schwinger-Dyson (SD) formalism based on lattice QCD data, i.e., LQCD-based SD formalism. We extract the SD kernel function $K(p^2)$ in an Ansatz-independent manner from the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hideaki Iida , Makoto Oka , Hideo Suganuma

From the operator product expansion the gluon condensate controls a certain power law correction to the ultraviolet behavior of the gauge theory. This is reflected by the asymptotic behavior of the effective gluon mass function as…

High Energy Physics - Phenomenology · Physics 2014-05-21 B. Holdom

To investigate the possibility of a ghost-antighost condensate the coupled Dyson--Schwinger equations for the gluon and ghost propagators in Yang--Mills theories are derived in general covariant gauges, including ghost-antighost symmetric…

High Energy Physics - Theory · Physics 2008-11-26 R. Alkofer , C. S. Fischer , H. Reinhardt , L. von Smekal

This snapshot of recent progress in hadron physics made in connection with QCD's Dyson-Schwinger equations includes: a perspective on confinement and dynamical chiral symmetry breaking (DCSB); a pre'cis on the physics of in-hadron…

Nuclear Theory · Physics 2017-08-23 H. L. L. Roberts , L. Chang , I. C. Cloet , C. D. Roberts

We present the ghost-free infinite-derivative extensions of the Spherically-Reduced Gravity (SRG) and Callan-Giddings-Harvey-Strominger (CGHS) theories in two space-time dimensions. For the case of SRG, we specify the Schwarzschild-type…

General Relativity and Quantum Cosmology · Physics 2022-09-23 Ulrich K. Beckering Vinckers , Álvaro de la Cruz-Dombriz , Ivan Kolář , Francisco J. Maldonado Torralba , Anupam Mazumdar

A semi-perturbative calculation of the ghost-gluon vertex in Landau gauge Yang-Mills theory in four and three Euclidean space-time dimensions is presented. Non-perturbative gluon and ghost propagators are employed, which have previously…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wolfgang Schleifenbaum , Axel Maas , Jochen Wambach , Reinhard Alkofer