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The coupled system of renormalized Dyson-Schwinger equations for the quark, gluon and ghost propagators of Landau gauge QCD is solved within truncation schemes. These employ bare as well as non-perturbative ansaetze for the vertices such…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Reinhard Alkofer

We study the gauge dependence of the quark propagator in quantum chromodynamics by solving the gap equation with a nonperturbative quark-gluon vertex which is constrained by longitudinal and transverse Slavnov-Taylor identities, the…

High Energy Physics - Phenomenology · Physics 2023-04-26 José Roberto Lessa , Fernando E. Serna , Bruno El-Bennich , Adnan Bashir , Orlando Oliveira

Based on a suitable basis system for the quark-gluon vertex' transverse tensor structures and on carefully chosen kinematical variables, the transverse part of the quark-gluon vertex in quenched QCD in the Landau gauge is obtained from a…

High Energy Physics - Phenomenology · Physics 2026-04-23 Georg Wieland , Reinhard Alkofer

The hadron-quark/gluon phase transition is studied in the two-phase model. As a further study of our previous work, both the isoscalar and isovector vector interactions are included in the Polyakov loop modified Nambu--Jona-Lasinio model…

Nuclear Theory · Physics 2015-06-04 G. Y. Shao , M. Colonna , M. Di Toro , B. Liu , F. Matera

*REVISED VERSION* Two quark propagators with different analytic structure are employed in on and off mass-shell Bethe-Salpeter type equations for the pion and scalar diquark form-factors. One of the quark propagators has been calculated…

High Energy Physics - Phenomenology · Physics 2009-10-22 Samuel J. Stainsby , Reginald T. Cahill

We investigate the nonperturbative behaviour of the quark propagator in axial gauge using a truncation of the Dyson-Schwinger equations which respects the Ward-Takahashi identity and multiplicative renormalisability. We demonstrate that…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. J. Gentles , D. A. Ross

We study the quantum mechanical phases associated with the propagation of neutrinos in gravitational fields under the WKB approximation for Dirac equation. Applying the result, the investigations are made for gravitational effects on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hisae Maiwa , Shigefumi Naka

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

We calculate the quark self-energy correction in light-cone gauge motivated by distribution amplitudes whose definition implies a Wilson line. The latter serves to preserve the gauge invariance of the hadronic amplitudes and becomes trivial…

High Energy Physics - Phenomenology · Physics 2025-10-21 Roberto Correa da Silveira , Fernando E. Serna , Bruno El-Bennich

We investigate quantum chromodynamics with two colors at nonvanishing density using Dyson-Schwinger equations. Lattice methods do not have a complex action problem in this theory. Thus, we can benchmark our results and the effect of…

High Energy Physics - Phenomenology · Physics 2020-01-29 Romain Contant , Markus Q. Huber

We calculate quark Wigner distributions using the light-front wave functions in a dressed quark model. In this model, a proton target is replaced by a simplified spin-1/2 state, namely a quark dressed with a gluon. We calculate the Wigner…

High Energy Physics - Phenomenology · Physics 2017-03-08 Jai More , Asmita Mukherjee , Sreeraj Nair

We revisit the calculation of quark and scalar propagators in a gluon background field at Next-to-Eikonal accuracy, which will provide the first power correction to scattering processes in the high-energy limit, including gluon saturation…

High Energy Physics - Phenomenology · Physics 2022-04-28 Tolga Altinoluk , Guillaume Beuf

The connection between QCD, a nonlocal Nambu--Jona-Lasinio type model and the Landau gauge gluon propagator is explored. This two point function is parameterized by a functional form which is compatible with Dyson-Schwinger and lattice QCD…

High Energy Physics - Phenomenology · Physics 2011-01-12 Pedro Costa , O. Oliveira , P. J. Silva

We investigate the gluon Wigner distributions at non-zero skewness using light-front wave functions (LFWFs) in the dressed quark model, where the target state is a quark dressed with a gluon in the leading-order Fock space expansion. Our…

High Energy Physics - Phenomenology · Physics 2026-02-02 Sujit Jana , Kenil Solanki , Vikash Kumar Ojha

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 revisit the treatment of spurious ultraviolet divergences in the equation of motion of the gluon propagator caused by a momentum cutoff and the resulting violation of gauge invariance. With present continuum studies of the gluon…

High Energy Physics - Phenomenology · Physics 2015-06-19 Markus Q. Huber , Lorenz von Smekal

We present a detailed analysis of the kinetic and mass terms associated with the Landau gauge gluon propagator in the presence of dynamical quarks, and a comprehensive dynamical study of certain special kinematic limits of the three-gluon…

High Energy Physics - Phenomenology · Physics 2020-03-18 A. C. Aguilar , F. De Soto , M. N. Ferreira , J. Papavassiliou , J. Rodríguez-Quintero , S. Zafeiropoulos

We study the gluon Wigner distributions of the proton which are the phase-space distributions containing the most general one-parton information. Using the proton wave functions deduced from a light-cone spectator model that contains the…

High Energy Physics - Phenomenology · Physics 2023-12-14 Chentao Tan , Zhun Lu

We present a detailed investigation of the skewness dependence of quark Wigner distributions within the light-front dressed quark model. While previous studies have largely focused on the forward limit, we explore the impact of nonzero…

High Energy Physics - Phenomenology · Physics 2025-07-25 Sujit Jana , Vikash Kumar Ojha

The propagator for gluons in a space-time dependent field is derived. This is accomplished by solving the equation of motion for the gluonic Green's functions. Subsequently a relationship between the quark and the gluon propagator is…

High Energy Physics - Phenomenology · Physics 2009-11-10 Dennis D. Dietrich