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We propose to investigate infrared properties of gluon and ghost propagators related to the so-called Gribov-Zwanziger confinement scenario, originally formulated for Landau and Coulomb gauges, for other gauges as well. We present results…

High Energy Physics - Lattice · Physics 2008-09-24 Tereza Mendes , Attilio Cucchieri , Axel Maas , Antonio Mihara

Feynman integrals in the physical light-cone gauge are harder to solve than their covariant counterparts. The difficulty is associated with the presence of unphysical singularities due to the inherent residual gauge freedom in the…

High Energy Physics - Theory · Physics 2014-11-18 A. T. Suzuki , A. G. M. Schmidt

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

Propagators of the diagonal and the off-diagonal gluons are studied numerically in the Maximal Abelian gauge of SU(2) lattice gauge theory. It is found that in the infrared region the propagator of the diagonal gluon is strongly enhanced in…

High Energy Physics - Lattice · Physics 2009-11-10 V. G. Bornyakov , M. N. Chernodub , F. V. Gubarev , S. M. Morozov , M. I. Polikarpov

We present data for the gluon and quark propagators computed in the standard lattice Landau's gauge and for three values of the covariant gauge-fixing parameter lambda=0,8,16. Our results are obtained using the SU(3) Wilson action in the…

High Energy Physics - Lattice · Physics 2015-06-25 L. Giusti , M. L. Paciello , S. Petrarca , B. Taglienti , N. Tantalo

Perturbative QCD calculations in the light-cone gauge have long suffered from the ambiguity associated with the regularization of the poles in the gluon propagator. In this work we study sub-gauge conditions within the light-cone gauge…

High Energy Physics - Phenomenology · Physics 2016-01-27 Giovanni A. Chirilli , Yuri V. Kovchegov , Douglas E. Wertepny

We show that the Feynman propagator in the light-cone gauge with the Mandelstam-Leibbrandt prescription has a logarithmic growth for large $\tilde{n}\cdot x$ which is related to the presence of a residual gauge invariance. Furthermore, we…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , J. Frenkel

Recent progress in our studies of propagators and three-point functions in Landau gauge for QCD and QCD-like theories is presented. Special emphasis is put on the properties of the three-gluon vertex and the quark-gluon vertex. The effect…

High Energy Physics - Phenomenology · Physics 2014-05-29 Reinhard Alkofer , Gernot Eichmann , Christian S. Fischer , Markus Hopfer , Milan Vujinovic , Richard Williams , Andreas Windisch

In this work we present the study of light-front field theories in the realm of axiomatic theory. It is known that when one uses the light-cone gauge pathological poles $(k^{+}) ^{-n}$ arises, demanding a prescription to be employed in…

High Energy Physics - Theory · Physics 2014-11-27 R. Bufalo , B. M. Pimentel , D. E. Soto

Propagators of diagonal and off-diagonal gluons are studied numerically in the Maximally Abelian gauge of the SU(2) lattice gauge theory. We have found the strong enhancement of the diagonal gluon in the infrared region. The enhancement…

High Energy Physics - Lattice · Physics 2009-11-10 V. G. Bornyakov , M. N. Chernodub , F. V. Gubarev , S. M. Morozov , M. I. Polikarpov

In an SU(N) gauge field theory, the n-point Green functions, namely, propagators and vertices, transform under the simultaneous local gauge variations of the gluon vector potential and the quark matter field in such a manner that the…

High Energy Physics - Theory · Physics 2016-04-06 M. Jamil Aslam , A. Bashir , L. X. Gutierrez-Guerrero

We derive a non-perturbative evolution equation for the gluon propagator in axial gauges based on the framework of Wetterich's formulation of the exact renormalization group. We obtain asymptotic solutions to this equation in the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Klaus Geiger

We give a general procedure for extracting the propagators in gauge theories in presence of a sharp gauge fixing and we apply it to derive the propagators in quantum gravity in the radial gauge, both in the first and in the second order…

High Energy Physics - Theory · Physics 2009-10-22 P. Menotti , G. Modanese , D. Seminara

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 compute the gluon and ghost propagators of Yang-Mills theory in linear covariant gauges from the coupled system of Dyson-Schwinger equations. For small values of the gauge fixing parameter $\xi\sim 0.1$, the deviations to the Landau…

High Energy Physics - Phenomenology · Physics 2015-04-14 Markus Q. Huber

In this work, we perform a comparison of the employ of distinct gluon propagators with the experimental data in diffractive processes, $pp$ elastic scattering and light meson photo-production. The gluon propagators are calculated through…

High Energy Physics - Phenomenology · Physics 2009-11-11 M. B. Gay Ducati , W. K. Sauter

This paper is a follow-up work of the previous study of the generalized abelian gauge field theory under rotor model of order $n$ of higher order derivatives. We will study the quantization of this theory using path integral approach and…

General Physics · Physics 2022-03-22 B. T. T. Wong

We decompose the quark propagator in the presence of an arbitrary gluon field with respect to a set of Dirac matrices. The four-dimensional integrals which arise in first order perturbation theory are rewritten as line-integrals along…

High Energy Physics - Phenomenology · Physics 2009-01-07 D. Gromes

Correlation functions of Landau gauge Yang-Mills theory are calculated from their equations of motion. Solutions for the three- and four-gluon vertices and the role of two-loop diagrams in the gluon propagator equation are discussed.

High Energy Physics - Phenomenology · Physics 2019-09-25 Markus Q. Huber

We consider the gauge invariant Drell-Yan hadron tensor which includes the standard and non-standard diagram contributions. The non-standard diagram contribution is appeared owing to the complexity of the twist three $B^V(x_1,x_2)$-function…

High Energy Physics - Phenomenology · Physics 2017-03-01 I. V. Anikin , I. O. Cherednikov , O. V. Teryaev