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Related papers: Self-mass for Massive Quark

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We examine dynamical mass generation in QCD with large current mass quarks. A renormalization group analysis is performed to separate fermion self-mass into a dynamical and a kinematical part. It is shown that the energy scale og the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zheng Huang , K. S. Viswanathan

We solve the homogeneous Bethe-Salpeter (HBS) equation for the scalar, pseudoscalar, vector, and axial-vector bound states of quark and anti-quark in large Nf QCD with the improved ladder approximation in the Landau gauge. The quark mass…

High Energy Physics - Phenomenology · Physics 2009-11-10 Masayasu Harada , Masafumi Kurachi , Koichi Yamawaki

The Landau gauge Schwinger-Dyson Equation for the quark self-energy is solved in the quenched ladder approximation for several cases of one- and two-quark-generations. The exchanges of Standard Model gluons and Higgs bosons are taken into…

High Energy Physics - Phenomenology · Physics 2011-07-19 Lesley L. Smith , Pankaj Jain , Douglas W. McKay

Using Dyson-Schwinger equations we obtain an ultraviolet asymptotics for the dynamical mass of quark in QCD. We also determine a numerical value for the \pi meson decay constant f_\pi.

High Energy Physics - Phenomenology · Physics 2008-11-26 N. V. Krasnikov , A. A. Pivovarov

The mass spectrum of heavy pseudoscalar mesons, described as quark-antiquark bound systems, is considered within the Bethe-Salpeter formalism with momentum-dependent masses of the constituents. This dependence is found by solving the…

Nuclear Theory · Physics 2011-03-07 S. M. Dorkin , T. Hilger , L. P. Kaptari , B. Kaempfer

We study the finite quark mass effects of the low-energy QCD using the improved ladder Schwinger-Dyson and Bethe-Salpeter equations which are derived in the manner consistent with the vector and axial-vector Ward-Takahashi identities. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Naito , K. Yoshida , Y. Nemoto , M. Oka , M. Takizawa

We develop a novel approach for the self-consistent solution of coupled sets of Bethe-Salpeter and Schwinger-Dyson equations in QCD. This framework allows us to maintain the axial Ward-Takahashi identities of the theory within advanced…

High Energy Physics - Phenomenology · Physics 2025-09-30 Angel. S. Miramontes , Jose M. Morgado Chavez , Joannis Papavassiliou , Jan M. Pawlowski

Schwinger's boson solution for massless fermions in QED in 1+1D has been applied and generalized to quarks interacting in QED and QCD interactions, leading to stable and confined open-string QED and QCD boson excitations of the…

High Energy Physics - Phenomenology · Physics 2022-05-03 Cheuk-Yin Wong

These lecture notes illustrate the application of Dyson-Schwinger equations in QCD. The extensive body of work at zero temperature and chemical potential is represented by a selection of contemporary studies that focus on solving the…

Nuclear Theory · Physics 2010-03-04 Craig D. Roberts

The mass spectrum of heavy pseudoscalar mesons, described as quark-antiquark bound systems, is considered within the Bethe-Salpeter formalism with momentum dependent masses of the constituents. This dependence is found by solving the…

Nuclear Theory · Physics 2010-12-27 S. M. Dorkin , T. Hilger , B. Kaempfer , L. P. Kaptari

In this article, we investigate the structures of the pseudoscalar mesons ($\pi$, $K$, $D$, $D_s$, $B$ and $B_s$) in the framework of the coupled rainbow Schwinger-Dyson equation and ladder Bethe-Salpeter equation with the confining…

High Energy Physics - Phenomenology · Physics 2016-09-06 Z. G. Wang , Wei-Min Yang , Shao-Long Wan

We determine the ${\bar{q}}q$ condensate for quark masses from zero up to that of the strange quark within a phenomenologically successful modelling of continuum QCD by solving the quark Schwinger-Dyson equation. The existence of multiple…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Williams , C. S. Fischer , M. R. Pennington

Chiral symmetry restoration of quarks is investigated at finite density in quantum chromodynamics. The effective quark mass is calculated with the Schwinger-Dyson equation in the real-time formalism without the instantaneous exchange…

High Energy Physics - Phenomenology · Physics 2020-06-03 Hidekazu Tanaka , Shuji Sasagawa

Dynamical chiral-symmetry breaking in QCD is studied with the Schwinger-Dyson (SD) formalism based on lattice QCD data, i.e., LQCD-based SD formalism. We extract the SD kernel function $K(p^2)$ in an Ansatz-independent manner from the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hideaki Iida , Makoto Oka , Hideo Suganuma

We study and solved Schwinger-Dayson equation for massive quarks in the quark model. Interaction potential is choose as sum oscillator and Coulomb terms. The calculation show us that negative energy of quark exist under $m_{o} \ll \Vo$ i.e.…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. Juraev

For the study of dynamical chiral-symmetry breaking (DCSB) in QCD, we investigate the Schwinger-Dyson (SD) formalism based on lattice QCD data. From the quenched lattice data for the quark propagator in the Landau gauge, we extract the SD…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hideaki Iida , Makoto Oka , Hideo Suganuma

Quark masses are of great prominence in high-energy physics. In this paper, we have studied the heavy meson systems via solving the Lippmann-Schwinger equation by using the Martin potential for heavy quark masses. We have also attempted to…

High Energy Physics - Phenomenology · Physics 2015-08-04 N. Tazimi , M. Monemzadeh , M. R. Hadizadeh

We solve the Schwinger-Dyson equations for QED in 2+1 or 3+1 dimensions in the presence of a strong homogeneous external magnetic field. The magnetic field is assumed strong enough, so that the lowest Landau level approximation holds, but…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Alexandre , K. Farakos , G. Koutsoumbas

The exact $q\bar{q}$ Bethe-Salpeter bound state amplitude is investigated in the space of relative energy $E$ for fixed value of relative position. By means of approximate analysis it is shown to possess singularities in $E$ whenever one of…

High Energy Physics - Theory · Physics 2015-06-19 Tomasz Radozycki

We use the covariant four-dimensional Bethe-Salpeter (BS) equation to determine the effective charm quark mass. The scale dependence of the effective charm quark mass is determined using experimentally known spin-one charmonium spectra and…

High Energy Physics - Phenomenology · Physics 2026-03-13 V. Sauli
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