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The quark propagator is studied under a truncation scheme beyond the rainbow approximation by dressing the quark-gluon vertex non-perturbatively. It is found that, in the chiral limit with dynamical symmetry breaking, the dynamical quark…

High Energy Physics - Phenomenology · Physics 2016-01-27 Hui-Feng Fu , Qing Wang

The rainbow truncation of the quark Dyson-Schwinger equation is combined with the ladder Bethe-Salpeter equation for the dressed quark-photon vertex to study the low-momentum behavior of the pion electromagnetic form factor. With model…

Nuclear Theory · Physics 2011-07-18 P. Maris , P. C. Tandy

We study numerically the Schwinger-Dyson equations for the coupled system of gluon and ghost propagators in the Landau gauge and in the case of pure gauge QCD. We show that a dynamical mass for the gluon propagator arises as a solution…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. C. Aguilar , A. A. Natale

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

We determine the gluon and ghost spectral functions along with the analytic structure of the associated propagators from numerical data describing gauge correlators at space-like momenta obtained by either solving the Dyson-Schwinger…

High Energy Physics - Phenomenology · Physics 2020-03-02 Daniele Binosi , Ralf-Arno Tripolt

We study the quark-gluon vertex in the limit of vanishing gluon momentum using lattice QCD with 2 flavors of O(a) improved Wilson fermions, for several lattice spacings and quark masses. We find that all three form factors in this…

High Energy Physics - Lattice · Physics 2021-07-07 Ayşe Kızılersü , Orlando Oliveira , Paulo J. Silva , Jon-Ivar Skullerud , André Sternbeck

We exploit the Ward-Slavnov-Taylor identity relating the 3-gluons to the ghost-gluon vertices to conclude either that the ghost dressing function is finite and non vanishing at zero momentum while the gluon propagator diverges (although it…

High Energy Physics - Phenomenology · Physics 2010-03-19 Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , A. Y. Lokhov , J. Micheli , O. Pène , J. Rodríguez-Quintero , C. Roiesnel

The main challenge in computing inclusive cross sections and decay spectra in QCD is posed by kinematic thresholds. The threshold region is characterized by stringent phase-space constraints that are reflected in large perturbative…

High Energy Physics - Phenomenology · Physics 2008-11-26 Einan Gardi

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

In Dyson-Schwinger studies of the Yang-Mills propagators the four-gluon interaction has been usually neglected due to the related technical difficulties with the associated two-loop terms and especially their renormalization. A possible…

High Energy Physics - Theory · Physics 2013-02-05 Valentin Mader , Reinhard Alkofer

We construct a quark target model (QTM) to incorporate intrinsic glue into effective low-energy models of QCD, which often contain only quark degrees of freedom. This method guarantees the gauge invariance of observables order-by-order in…

High Energy Physics - Phenomenology · Physics 2021-10-27 C. S. R. Costa , Adam Freese , Ian C. Cloët , Bruno El-Bennich , Gastão Krein , Peter C. Tandy

The gauge invariant two-point correlator for the gluon field strength tensor in analysed by means of the QCD sum rule method. To this end, we make use of a relation of this correlator to a two-point function for a quark-gluon hybrid in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Eidemuller , H. G. Dosch , M. Jamin

We present an explicit construction of the special part of the three gluon vertex, which incorporates the Schwinger mechanism into the Schwinger-Dyson equation of the gluon propagator, enabling the generation of a dynamical gluon mass. This…

High Energy Physics - Phenomenology · Physics 2011-12-22 David Ibanez

The gauge invariant two-point correlator for the gluon field strength tensor is analysed by means of the QCD sum rule method. To this end, we make use of a relation of this correlator to a two-point function for a quark-gluon hybrid in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. G. Dosch , M. Eidemueller , M. Jamin

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

The QED Dyson-Schwinger equation for the photon-fermion one-particle irreducible Green function, the photon-fermion vertex, is investigated using a Ball-Chiu description for its longitudinal part, together with the…

High Energy Physics - Phenomenology · Physics 2023-12-06 Orlando Oliveira

Truncated Dyson-Schwinger equations represent finite subsets of the equations of motion for Green's functions. Solutions to these non-linear integral equations can account for non-perturbative correlations. A closed set of coupled…

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

The color dipole formulation provides an intuitive picture of hard processes in high energy scattering. Most importantly, this approach allows one to calculate nuclear effects in a parameter-free way. I review the relation between the…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Raufeisen

I derive a general effective theory for hot and/or dense quark matter. After introducing general projection operators for hard and soft quark and gluon degrees of freedom, I explicitly compute the functional integral for the hard quark and…

Nuclear Theory · Physics 2007-05-23 Philipp T. Reuter

We non-perturbatively study the fermion spectrum in the chiral symmetric phase focusing on the effects of in-medium corrections for gauge boson. The fermion spectrum is derived by solving the Schwinger-Dyson equation (SDE) with ladder…

High Energy Physics - Phenomenology · Physics 2009-04-01 Masayasu Harada , Shunji Yoshimoto
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