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From the overlap lattice quark propagator calculated in the Landau gauge, we determine the quark chiral condensate by fitting operator product expansion formulas to the lattice data. The quark propagators are computed on domain wall fermion…

High Energy Physics - Lattice · Physics 2017-10-25 Chao Wang , Yujiang Bi , Hao Cai , Ying Chen , Ming Gong , Zhaofeng Liu

In this article, we calculate the dressed quark propagator with the flat bottom potential in the framework of the rain-bow Schwinger-Dyson equation. Then based on the nonperturbative dressed quark propagator, we calculate the $\pi$ decay…

High Energy Physics - Phenomenology · Physics 2014-11-17 Z. G. Wang , S. L. Wan

A Schwinger-Dyson equation for the quark propagator is derived in the context of a Bethe-Salpeter second order formalism developped in preceding papers and of the Minimal Area Law model for the evaluation of the Wilson loop. We discuss how…

High Energy Physics - Theory · Physics 2007-05-23 G. M. Prosperi

With the introduction of a spectral representation, the Schwinger--Dyson equation (SDE) for the fermion propagator is formulated in Minkowski space in QED. After imposing the on-shell renormalization conditions, numeric solutions for the…

Nuclear Theory · Physics 2025-01-03 Shaoyang Jia , Michael R. Pennington

In this paper we consider soft high-energy parton-parton scattering processes in gauge theories, i.e., elastic scattering processes involving partons at very high squared energies in the center of mass and small squared transferred…

High Energy Physics - Phenomenology · Physics 2009-10-31 Enrico Meggiolaro

Efficient computation methods are devised for the perturbative solution of Schwinger--Dyson equations for propagators. We show how a simple computation allows to obtain the dominant contribution in the sum of many parts of previous…

High Energy Physics - Theory · Physics 2010-09-30 Marc Bellon

Novel order parameters for the confinement-deconfinement phase transition of quenched QCD and fundamentally charged scalar QCD are presented. Similar to the well-known dual condensate, they are defined via generalized matter propagators…

High Energy Physics - Phenomenology · Physics 2017-12-19 M. Mitter , M. Hopfer , B. -J. Schaefer , R. Alkofer

We construct the massive scalar propagator for planar gravitational wave backgrounds propagating on Minkowski space. We represent the propagator in terms of the Bessel's function of suitably deformed nonlocal distance functions, the…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Rens van Haasteren , Tomislav Prokopec

Surface plasmons are usually described as surface waves with either a complex wavevector or a complex frequency. When discussing their merits in terms of field confinment or enhancement of the local density of states, controversies…

This work employs the approach based on the Bethe-Salpeter and Dyson-Schwinger equations to study the light meson spectrum. The Dyson-Schwinger equation of the quark propagator is truncated using the Maris-Tandy model for the dressed gluon…

High Energy Physics - Phenomenology · Physics 2025-11-05 Iqra Liaqat , Faisal Akram

Baryons containing two heavy quarks are treated in the Born-Oppenheimer approximation. Schr\"odinger equation for two center Coulomb plus harmonic oscillator potential is solved by the method of ethalon equation at large intercenter…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. U. Matrasulov , M. M. Musakhanov , T. Morii

We discuss formulation of QCD in Minkowski-spacetime and effect of an operator product expansion by means of normal ordering of fields in the QCD Lagrangian. The formulation of QCD in the Minkowski-spacetime allows us to solve a constraint…

High Energy Physics - Phenomenology · Physics 2017-12-05 V. I. Shilin , V. N. Pervushin

A system of two static quarks, at fixed distances r, and two light quarks is studied on an anisotropic lattice. Excitations by operators emphasizing quark or gluon degrees of freedom are examined. The maximum entropy method is applied in…

High Energy Physics - Lattice · Physics 2007-05-23 LHPC , H. Rudolf Fiebig

The excited isovector meson spectrum is explored using two chirally improved dynamical quarks. Seven ensembles, with pion masses down to \approx 250 MeV are discussed and used for extrapolations to the physical point. Strange mesons are…

High Energy Physics - Lattice · Physics 2011-12-07 Georg P. Engel , C. B. Lang , Markus Limmer , Daniel Mohler , Andreas Schaefer

The propagator of the discrete Schr\"odinger equation is computed and its properties are revealed through a Feynman path summation in discrete space. Initial data problems such as diffraction in discrete space and continuous time are…

Quantum Physics · Physics 2012-11-01 Emerson Sadurní

The improved quark mass density- dependent model which includes the coupling between the quarks and a non-linear scalar field is presented. Numerical analysis of solutions of the model is performed over a wide range of parameters. The wave…

Nuclear Theory · Physics 2009-11-11 Chen Wu , Wei Liang Qian , Ru-Keng Su

We investigate the behavior of the one body propagator in SQED. The self energy is calculated using three different methods: i) the simple bubble summation, ii) the Dyson-Schwinger equation, and iii) the Feynman-Schwinger represantation.…

High Energy Physics - Phenomenology · Physics 2014-11-17 Cetin Savkli , Franz Gross , John Tjon

Based upon a combined formalism of Schwinger-Dyson and Bethe-Salpeter equations in quantum chromodynamics (QCD), we propose a QCD kindred algebraic model for the dressed quark propagator, for the Bethe-Salpeter amplitude of the pion and the…

High Energy Physics - Phenomenology · Physics 2024-09-17 M. Atif Sultan , Jiayin Kang , Adnan Bashir , Lei Chang

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

Pion and kaon observables are calculated using a Dyson-Schwinger Bethe-Salpeter formalism. It is shown that an infrared finite gluon propagator can lead to quark confinement via generation of complex mass poles in quark propagators.…

High Energy Physics - Phenomenology · Physics 2009-10-30 Cetin Savkli , Frank Tabakin