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In Landau gauge QCD the infrared behavior of the propagator of transverse gluons can be analytically determined to be a power law from Dyson-Schwinger equations. This propagator clearly shows positivity violation, indicating the absence of…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , W. Detmold , C. S. Fischer , P. Maris

We calculate the dimension two gluon condensate contribution to quark, gluon and ghost propagators at finite temperature.

High Energy Physics - Phenomenology · Physics 2015-06-04 Purnendu Chakraborty , Munshi G. Mustafa

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

We present a comprehensive study of the quark sector of $2+1$ flavour QCD, based on a self-consistent treatment of the coupled system of Schwinger-Dyson equations for the quark propagator and the full quark-gluon vertex. The individual form…

High Energy Physics - Phenomenology · Physics 2021-07-06 Fei Gao , Joannis Papavassiliou , Jan M. Pawlowski

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

The two point gluon and ghost correlation functions and the three gluon vertex are investigated, in the Landau gauge, using lattice simulations. For the two point functions, we discuss the approach to the continuum limit looking at the…

High Energy Physics - Lattice · Physics 2017-04-05 O. Oliveira , A. G. Duarte , D. Dudal , P. J. Silva

The Schwinger-Dyson quark equation (SDE) combined with results from lattice simulation for the propagators are used to obtain information on the quark-gluon vertex, taking into account the recent full QCD lattice results for the soft-gluon…

High Energy Physics - Phenomenology · Physics 2020-06-11 Orlando Oliveira , Tobias Frederico , Wayne de Paula

We solve the Dyson-Schwinger equations of the ghost and gluon propagators of Landau gauge Yang-Mills theory together with that of the ghost-gluon vertex. The latter plays a central role in many truncation schemes for functional equations.…

High Energy Physics - Theory · Physics 2013-06-25 Markus Q. Huber , Lorenz von Smekal

Recent investigations of the Dyson-Schwinger equations and Monte-Carlo lattice calculations resulted in a coherent description of the fully dressed gluon, ghost and quark propagators in Landau gauge QCD. In the Dyson-Schwinger approach the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Alkofer , C. S. Fischer

We present a new truncation scheme for the Schwinger-Dyson equations of QCD that respects gauge invariance at any level of the dressed loop expansion. When applied to the gluon self-energy, it allows for its non-perturbative treatment…

High Energy Physics - Phenomenology · Physics 2008-11-26 Daniele Binosi , Joannis Papavassiliou

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

We report on the first self-consistent solution of the Dyson-Schwinger equation (DSE) for the three-gluon vertex. Based on earlier results for the propagators which match data from lattice Monte-Carlo simulations, we obtain results for the…

High Energy Physics - Phenomenology · Physics 2014-04-02 Adrian L. Blum , Markus Q. Huber , Mario Mitter , Lorenz von Smekal

The quenched gluon and ghost propagator data published in [1] is reanalysed following the suggestion of [2] to resolve the differences between the infrared data of the simulations. Our results confirms that the procedure works well either…

High Energy Physics - Lattice · Physics 2017-11-29 Anthony G. Duarte , Orlando Oliveira , Paulo J. Silva

We compute the full non-perturbative ghost and gluon two-point Green functions by using gauge field configurations with $\nf=2$ and $\nf=2+1+1$ twisted-mass quark flavours. We use simulations with several different light quark masses, heavy…

High Energy Physics - Phenomenology · Physics 2015-06-11 A. Ayala , A. Bashir , D. Binosi , M. Cristoforetti , J. Rodríguez-Quintero

We employ a set of recent, theoretically motivated, fits to non-perturbative unquenched gluon propagators to check in how far double gluon exchange can be used to describe the soft sector of pp scattering data (total and differential cross…

High Energy Physics - Phenomenology · Physics 2017-08-16 F. E. Canfora , D. Dudal , I. F. Justo , P. Pais , P. Salgado-Rebolledo , L. Rosa , D. Vercauteren

We compute gluon and quark propagators in 2-colour QCD at large baryon chemical potential mu. The gluon propagator is found to be antiscreened in the superfluid, confined phase and screened in the large-mu, deconfined phase. We present the…

High Energy Physics - Lattice · Physics 2014-11-20 Jon-Ivar Skullerud

We present analytical and numerical results for the Dirac form factor of the quark-gluon vertex in the quark symmetric limit, where the incoming and outgoing quark momenta have the same magnitude but opposite sign. To accomplish this, we…

High Energy Physics - Phenomenology · Physics 2013-01-18 A. C. Aguilar , D. Binosi , J. C. Cardona , J. Papavassiliou

*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 discuss the coupled dynamics of the ghost dressing function and the ghost-gluon vertex through the Schwinger-Dyson equations that they satisfy. In order to close the system of equations, we combine recent lattice data for the gluon…

High Energy Physics - Phenomenology · Physics 2023-04-24 M. N. Ferreira

In recent work, we demonstrated a double-copy relation between inclusive gluon radiation in shock wave collisions of ultrarelativistic nuclei and inclusive graviton radiation in trans-Planckian gravitational shock wave collisions. We…

High Energy Physics - Theory · Physics 2024-08-19 Himanshu Raj , Raju Venugopalan