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By single-time reduction technique of Bethe-Salpeter formalism for two-fermion systems analytical expressions for the quasipotential of quark-quark interactions in QCD have been obtained in one-gluon exchange approximation. The influence of…

High Energy Physics - Theory · Physics 2014-10-02 A. A. Arkhipov

The Green's function method has applications in several fields in Physics, from classical differential equations to quantum many-body problems. In the quantum context, Green's functions are correlation functions, from which it is possible…

Mesoscale and Nanoscale Physics · Physics 2016-10-14 Mariana M. Odashima , Beatriz G. Prado , E. Vernek

A brief introduction to the effective Lagrangian treatment of QCD (in the sense of using fields representing physical particles rather than quarks and gluons) will be given. The historical evolution of the subject will be discussed. Some…

High Energy Physics - Phenomenology · Physics 2007-05-23 Joseph Schechter

This note presents a method to reduce the discretization errors appearing when solving a Quantum Field Theory in a hypercubic lattice in both position and momentum-space. The method exploits the artifacts that break rotational symmetry to…

High Energy Physics - Lattice · Physics 2022-10-26 F. de Soto

In quantum chromodynamics (QCD), the vacuum structures are taken to be formed by nonperturbative interactions between gluons. The contributions of gluonic interactions can be parametrized by gluon condensates and especially the dimension-2…

High Energy Physics - Theory · Physics 2015-04-02 Su Kyeong Lee , Eun-Joo Kim , Jong Bum Choi

In these proceedings, we investigate non-perturbative models for Quantum Chromodynamics (QCD) motivated by the behavior of the Landau-gauge lattice gluon propagator with the purpose of testing their validity in the perturbative regime of…

High Energy Physics - Phenomenology · Physics 2018-08-28 C. Mena , L. F. Palhares

In the virtual presence of a heavy quark t, the interactions of a CP-odd scalar boson A, with mass M_A << 2M_t, with gluons and light quarks can be described by an effective Lagrangian. We analytically derive the coefficient functions of…

High Energy Physics - Phenomenology · Physics 2011-01-13 K. G. Chetyrkin , B. A. Kniehl , M. Steinhauser , W. A. Bardeen

We discuss the gauge invariance of quark-quark potential in QCD in the perturbative treatment, and show that the gauge dependence of the quark-gluon interaction cannot be eliminated. Therefore, the quark-quark potential cannot properly be…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Fujita , S. Kanemaki , S. Oshima

We show that the form of the renormalization group invariant quark-gluon interaction predicted by a refined nonperturbative analysis of the QCD gauge sector is in quantitative agreement with the one required for describing a wide range of…

High Energy Physics - Phenomenology · Physics 2016-04-20 D. Binosi

We summarise results for the propagators of Landau gauge QCD from the Green's functions approach and lattice calculations. The nonperturbative solutions for the ghost, gluon and quark propagators from a coupled set of Dyson-Schwinger…

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

The gluon self-energies and dispersion laws in the color superconducting phase of QCD with two massless flavors are calculated using the effective theory near the Fermi surface. These quantities are calculated at zero temperature for all…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. Casalbuoni , R. Gatto , M. Mannarelli , G. Nardulli

Gribov's scenario of supercritical charges in QCD is investigated. We perform a numerical study of the corresponding equation for the Green function of light quarks. This is done in an approximation which neglects all pion contributions.…

High Energy Physics - Phenomenology · Physics 2011-09-13 Carlo Ewerz

We describe long distance QCD by a dual theory in which the fundamental variables are dual potentials coupled to monopole fields and use this dual theory to determine the effective Lagrangian for constituent quarks. We find the color field…

High Energy Physics - Phenomenology · Physics 2016-11-03 Marshall Baker

A nonperturbative renormalization group equation describes how the momentum dependent four-quark vertex depends on an infrared cutoff. We find a quasilocal one-particle irreducible piece generated by (anomaly-free) multi-gluon exchange. It…

High Energy Physics - Phenomenology · Physics 2009-10-31 Enrico Meggiolaro , Christof Wetterich

In the high energy regime, the proton structure consists of a very large number of particles called partons (quarks and gluons) that interact with each other, according to the theory of strong interactions, Quantum Chromodynamics (QCD).…

High Energy Physics - Phenomenology · Physics 2018-08-06 Gilvana C. Penedo , Werner K. Sauter

In a functional approach to QCD the infrared behaviour of Landau gauge Green functions is investigated. Positivity violation for, and thus confinement of, gluons is demonstrated, and the analytic structure of the gluon propagator is…

High Energy Physics - Phenomenology · Physics 2009-06-25 Reinhard Alkofer , Christian S. Fischer , Markus Q. Huber , Felipe J. Llanes-Estrada , Kai Schwenzer

Nucleus-nucleus interaction is studied in the framework of the perturbative QCD with large number of colours and a fixed coupling constant. The pomeron tree diagrams are summed by an effective field theory. The classical field equations are…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. A. Braun

The cross section for the \J~and \U~interaction with light hadrons is calculated in short-distance QCD, based on the large heavy quark mass and the resulting large energy gap to open charm or beauty. The low energy form of the cross section…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Kharzeev , H. Satz

The effective action for reggeized gluons is based on the gluodynamic Yang-Mills Lagrangian with external current for longitudinal gluons added, see [1]. On the base of classical solutions, obtained in [2], the one-loop corrections to this…

High Energy Physics - Theory · Physics 2017-10-25 S. Bondarenko , L. Lipatov , S. Pozdnyakov , A. Prygarin

We study the static gluon and quark propagator of the Hamiltonian approach to Quantum Chromodynamics in Coulomb gauge in one-loop Rayleigh--Schr\"odinger perturbation theory. We show that the results agree with the equal-time limit of the…

High Energy Physics - Theory · Physics 2014-04-11 Davide R. Campagnari , Hugo Reinhardt
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