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Related papers: Infrared self-consistent solutions of bispinor QED…

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We nonperturbatively investigate a fermion spectrum at finite temperature in a chiral invariant linear sigma model. Coupled Schwinger-Dyson equations for fermion and boson are developed in the real time formalism and solved numerically.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Masayasu Harada , Yukio Nemoto

We investigate the properties of a dressed electron which reduces, in a particular class of gauges, to the usual fermion. A one loop calculation of the propagator is presented. We show explicitly that an infra-red finite, multiplicative,…

High Energy Physics - Theory · Physics 2009-10-30 Emili Bagan , Martin Lavelle , David McMullan

Non-perturbative formalism of the generalized effective action is used for deriving the Schwinger-Dyson equations. In order to clear the domain of integration in the functional integral from gauge copies a restriction to the Gribov horizon…

High Energy Physics - Theory · Physics 2007-05-23 P. O. Fedosenko

The construction of consistent effective field theories in the infrared demands that models be defined by their underlying gauge symmetries, rather than by an arbitrary tuning of couplings or a cherry-picking of operators which may not be…

High Energy Physics - Theory · Physics 2025-07-09 Will Barker , Carlo Marzo , Alessandro Santoni

A solvable systematic truncation scheme for the Dyson-Schwinger equations of Euclidean QCD in Landau gauge is presented. It implements the Slavnov-Taylor identities for the three-gluon and ghost-gluon vertices, whereas irreducible…

High Energy Physics - Phenomenology · Physics 2009-07-09 Lorenz von Smekal , Andreas Hauck , Reinhard Alkofer

We study the infrared (IR) structure of $SU(N) \times U(1)$ (QCD $\times$ QED) gauge theory with $n_f$ quarks and $n_l$ leptons within the framework of perturbation theory. In particular, we unravel the IR structure of the form factors and…

High Energy Physics - Phenomenology · Physics 2024-05-17 A. H. Ajjath , Pooja Mukherjee , V. Ravindran

We investigate the infrared behaviour of gluon and ghost propagators in Landau gauge QCD by means of an exact renormalisation group equation. We explain how, in general, the infrared momentum structure of Green functions can be extracted…

High Energy Physics - Theory · Physics 2009-11-10 Jan M. Pawlowski , Daniel F. Litim , Sergei Nedelko , Lorenz von Smekal

We solve the Bethe-Salpeter equation in order to calculate the spectrum of pseudoscalar, vector and scalar meson bound states for light as well as heavy quarks, extending our previous calculation of pseudoscalar mesons. The fermion…

High Energy Physics - Phenomenology · Physics 2009-10-22 P. Jain , H. J. Munczek

We establish a novel method of obtaining the gauge-invariant bilocal condensate of gluon fields from the solutions of the Dyson--Schwinger equations (DSE) which works in the infrared and ultraviolet limits. We present explicit results for…

High Energy Physics - Phenomenology · Physics 2008-12-19 A. V. Zayakin , J. Rafelski

Hamiltonian models based on two different infrared approximations are studied in order to obtain an explicit comparison with the standard analysis of the infrared contributions, occurring in the relativistically covariant perturbative…

Mathematical Physics · Physics 2011-10-25 Simone Zerella

We study the dynamics of femtosecond light pulse propagation in a cubic-quintic medium exhibiting dispersive effect up to the fourth order as well as self-frequency shift and self-steepening nonlinearity. A rich variety of periodic and…

Pattern Formation and Solitons · Physics 2022-10-19 Vladimir I. Kruglov , Houria Triki

Minkowski structure of the Fermion propagator in QED$_{2+1}$ is evaluated using dispersion like method Including massive fermion loop to the photon spectral function there is no infrared divergences in the gauge d=-1.Screening effects…

High Energy Physics - Theory · Physics 2009-06-10 Yuichi Hoshino

The Schwinger-Dyson equations for the nucleon and meson propagators are solved self-consistently in an approximation that goes beyond the Hartree-Fock approximation. The traditional approach consists in solving the nucleon Schwinger-Dyson…

Nuclear Theory · Physics 2008-11-26 M. E. Bracco , A. Eiras , G. Krein , L. Wilets

The Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators in Landau gauge QCD are reviewed. The realization of this confinement criterion (which in Landau gauge relates to Zwanziger's…

High Energy Physics - Phenomenology · Physics 2017-08-23 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

We solve the Dyson--Schwinger equation for the quark propagator in a model with singular infrared behavior for the gluon propagator. We require that the solutions, easily found in configuration space, be tempered distributions and thus have…

High Energy Physics - Theory · Physics 2016-08-24 Douglas W. McKay , Herman J. Munczek

The renormalized Dyson-Schwinger equation for the quark propagator is studied, in Landau gauge, in a novel truncation which preserves multiplicative renormalizability. The renormalization constants are formally eliminated from the integral…

High Energy Physics - Phenomenology · Physics 2009-01-14 J. C. R. Bloch

Dynamical chiral symmetry breaking (DCSB) in QED$_{3}$ with finite gauge boson mass is studied in the framework of the rainbow approximation of Dyson-Schwinger equations. By adopting a simple gauge boson propagator ansatz at finite…

High Energy Physics - Phenomenology · Physics 2010-11-08 Jian-Feng Li , Yu-Qing Zhou , Hong-Tao Feng , Wei-Min Sun , Hong-Shi Zong

A numerical study of the ghost Dyson-Schwinger equation in Coulomb gauge is performed and solutions for the ghost propagator found. As input, lattice results for the spatial gluon propagator are used. It is shown that in order to solve…

High Energy Physics - Theory · Physics 2010-12-24 Peter Watson , Hugo Reinhardt

The perturbative expression of the running strong coupling constant \alpha_{\rm s}(Q^{2}) has an unphysical singularity for Q^{2} = \Lambda^{2}_{\rm QCD}. Various modification have been proposed for the infrared region. The effect of some…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Baldicchi , G. M. Prosperi

We study chiral symmetry breaking in $\rm QED_3$ with $N_f$ flavors of four-component fermions. A closed system of Schwinger-Dyson equations for fermion and photon propagators and the full fermion-photon vertex is proposed, which is…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. P. Gusynin , A. H. Hams , M. Reenders