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Related papers: Dyson-Schwinger Equations: An Instrument for Hadro…

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We propose the Schwinger-Dyson (SD) formalism based on lattice QCD, i.e., LQCD-based SD formalism, for the study of dynamical chiral-symmetry breaking in QCD. We extract the kernel function K(p^2) in the SD equation from the lattice data of…

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

After introducing essential, qualitative concepts and results, we discuss the application of Dyson-Schwinger equations to QCD at finite T and mu. We summarise the calculation of the critical exponents of two-light-flavour QCD using the…

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

We provide a snapshot of Dyson-Schwinger equation applications to the theory and phenomenology of hadrons. Exact results for pseudoscalar mesons are highlighted, with details relating to the U_A(1) problem. Calculated masses of the lightest…

Nuclear Theory · Physics 2010-03-04 I. C. Cloet , A. Krassnigg , C. D. Roberts

This conference proceedings contribution emphasizes the emergent hadron mass paradigm, which accounts for the majority of the visible mass in the universe, beyond the Higgs boson mechanism. The study delves into the Landau gauge gluon…

High Energy Physics - Phenomenology · Physics 2024-09-05 Jorge Segovia

Since the baryon-number susceptibilities are correlated with the cumulant of baryon-number fluctuations in experiments, we do calculations of the susceptibilities and compare them with the experimental fluctuation data under the framework…

High Energy Physics - Phenomenology · Physics 2015-06-23 A-Meng Zhao , Zhu-Fang Cui , Yu Jiang , Hong-Shi Zong

Within contemporary hadron physics there are two common methods for determining the momentum-dependence of the interaction between quarks: the top-down approach, which works toward an ab initio computation of the interaction via direct…

Nuclear Theory · Physics 2015-06-23 Daniele Binosi , Lei Chang , Joannis Papavassiliou , Craig D. Roberts

We extend chiral perturbation theory to study a meson gas out of thermal equilibrium. Assuming that the system is initially in equilibrium below the critical temperature and working within the Schwinger-Keldysh contour technique, we define…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Gomez Nicola , V. Galan-Gonzalez

The static properties, masses and decay constants, of pseudoscalar meson triplet in a strongly magnetized medium are studied through the Dyson-Schwinger equation approach treatment of a contact interaction. Complementary to the usual…

High Energy Physics - Phenomenology · Physics 2022-06-22 Zanbin Xing , Jingyi Chao , Lei Chang , Yu-xin Liu

The coupled system of renormalized Dyson-Schwinger equations for the electron self-energy and the photon propagator are supplied with the tree level vertex as Ansatz for the renormalized three point function. The system is investigated…

High Energy Physics - Phenomenology · Physics 2009-09-25 Kurt Langfeld

In-hadron condensates, defined as the scalar form factors at zero-momentum transfer, are investigated for flavor-symmetric mesons in pseudoscalar and vector channels under the rainbow-ladder truncation within the Dyson-Schwinger equations…

High Energy Physics - Phenomenology · Physics 2022-08-17 Pianpian Qin , Zhan Bai , Muyang Chen , Si-xue Qin

Assuming the spin-independence for confining force, we give a covariant quark representation of general composite meson systems with definite Lorentz transformation properties. For benefit of this representation we are able to deduce…

High Energy Physics - Phenomenology · Physics 2009-10-31 Shin Ishida , Muneyuki Ishida , Tomohito Maeda

This thesis presents an investigation of meson and baryon properties in the framework of covariant bound-state equations based on the Dyson-Schwinger equations of QCD. Pion and rho-meson, diquark, nucleon and delta-baryon masses are…

High Energy Physics - Phenomenology · Physics 2009-09-07 Gernot Eichmann

The advantageous points of ERG in applications to non-perturbative analyses of quantum field theories are discussed in comparison with the Schwinger-Dyson equations. First we consider the relation between these two formulations specially by…

High Energy Physics - Phenomenology · Physics 2009-11-07 Haruhiko Terao

We explore the viability of using solely spacelike information about a Schwinger function to extract properties of bound states. In a concrete example it is not possible to determine properties of states with masses \gsim 1.2 GeV. Modern…

Nuclear Theory · Physics 2008-11-26 A. Hoell , P. Maris , C. D. Roberts , S. V. Wright

Two basic motivations for an upgraded JLab facility are the needs: to determine the essential nature of light-quark confinement and dynamical chiral symmetry breaking (DCSB); and to understand nucleon structure and spectroscopy in terms of…

Nuclear Theory · Physics 2010-11-02 Lei Chang , Ian C. Cloet , Bruno El-Bennich , Thomas Klahn , Craig D. Roberts

Effects of truncation in self-similar continuous unitary transformations (S-CUT) are estimated rigorously. We find a formal description via an inhomogeneous flow equation. In this way, we are able to quantify truncation errors within the…

Strongly Correlated Electrons · Physics 2011-04-14 Nils A. Drescher , Tim Fischer , Götz S. Uhrig

Using the eigen-mode of the QCD Dirac operator $\Slash D=\gamma^\mu D^\mu$, we develop a manifestly gauge-covariant expansion and projection of the QCD operators such as the Wilson loop and the Polyakov loop. With this method, we perform a…

High Energy Physics - Lattice · Physics 2012-09-04 Shinya Gongyo , Takumi Iritani , Hideo Suganuma

Schwinger proper time method is generalized for the calculation of real part of determinant and coincidence limit of inverse for Dirac operator with dynamical chiral symmetry breaking caused by momentum dependent fermion self energy…

High Energy Physics - Phenomenology · Physics 2007-05-23 Qin Lu , Hua Yang , Qing Wang

The Banks--Casher relation links the spontaneous breaking of chiral symmetry in QCD to the presence of a non-zero density of quark modes at the low end of the spectrum of the Dirac operator. Spectral observables like the number of modes in…

High Energy Physics - Lattice · Physics 2009-03-31 Leonardo Giusti , Martin Lüscher

We review dynamical mass generation in three and four dimensional Ableian gauge theories. The basic approach analyzed here is to solve Schwinger-Dyson equations in some approximations. In both cases, the coupling has to be larger than a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Deog Ki Hong