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I report on recent progress in the study of mass generation in non-abelian gauge theories, and concentrate on the origin of constituent masses in QCD. I argue that a consistent formalism has been developed to describe chiral symmetry…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. R. Cudell

We study Dick quark-antiquark potential (up to a color factor) $V_D(r)={-\alpha_s \over r} + gf \sqrt{N_c \over {2(N_c-1)}} \ln[exp(2mr)-1]$ in the heavy meson sector. This potential emerges from an effective dilaton-gluon coupling inspired…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Barakat , M. Chabab

The chiral symmetry of QCD requires energy-dependent pionic strong interactions at low energies. This constraint, however, is not fulfilled by the usual Breit--Wigner parameterization of pionic resonances, leading to masses larger than the…

High Energy Physics - Phenomenology · Physics 2019-06-12 Meng-Lin Du , Feng-Kun Guo , Ulf-G. Meißner

The Bethe-Salpeter equation for Wick-Cutkosky like models is solved in dressed ladder approximation. The bare vertex truncation of the Dyson-Schwinger equations for propagators is combined with the dressed ladder Bethe-Salpeter equation for…

High Energy Physics - Phenomenology · Physics 2009-11-07 Vladimir Sauli , Jiri Adam

A new method of solution of the Bethe-Salpeter equation for a pseudoscalar quark-antiquark bound state is proposed. With the help of an integral representation, the results are directly obtained in Minkowski space. Dressing of Green's…

High Energy Physics - Phenomenology · Physics 2014-11-18 V. Sauli

We present results for the quark mass function in Minkowski space calculated from an interaction kernel that consists of an effective one-gluon-exchange and a constant interaction. We analyze the gauge dependence of our results and compare…

High Energy Physics - Phenomenology · Physics 2019-04-17 Elmar P. Biernat , Franz Gross , M. T. Peña , Alfred Stadler , Sofia Leitão

We revisit the investigation about the partition function related to a \phi^4-scalar field theory on a n-dimensional Minkowski spacetime, which is shown to be a self-interacting scalar field theory at least in 4-dimensional Minkowski…

High Energy Physics - Theory · Physics 2016-09-06 R. da Rocha , E. Capelas de Oliveira , C. H. Coimbra-Araujo

By means of a formal expression of the Cornwall-Jackiw-Tomboulis effective potential for quark propagator at finite temperature and finite quark chemical potential, we derive the real-time thermal Schwinger-Dyson equation for quark…

High Energy Physics - Theory · Physics 2014-11-18 Zhou Bang-Rong

Using a ladder-rainbow kernel previously established for the soft scale of light quark hadrons, we explore the extension to masses and electroweak decay constants of ground state pseudoscalar and vector quarkonia and heavy-light mesons in…

Nuclear Theory · Physics 2011-09-28 Trang Nguyen , Nicholas A. Souchlas , Peter C. Tandy

Employing a symmetry-preserving contact-interaction formulation of the Dyson-Schwinger equations in quantum chromodynamics (QCD), we examine the identity of the $\sigma$ meson and its implications for the gravitational structure of hadrons.…

High Energy Physics - Phenomenology · Physics 2025-12-16 Zanbin Xing , Khépani Raya , Yu-xin Liu , Lei Chang

We survey contemporary studies of hadrons and strongly interacting quarks using QCD's Dyson-Schwinger equations, addressing: aspects of confinement and dynamical chiral symmetry breaking; the hadron spectrum; hadron elastic and transition…

We use the vacuum expectation value of a Wegner-Wilson loop representing a fast moving quark-antiquark pair to derive the light cone Hamiltonian for a $q\bar q$ meson. We solve the corresponding Schr\"odinger equation for various trial wave…

High Energy Physics - Phenomenology · Physics 2015-04-28 H. J. Pirner , B. Galow , O. Schlaudt

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

In tackling QCD, a constructive feedback between theory and extant and forthcoming experiments is necessary in order to place constraints on the infrared behaviour of QCD's \beta-function, a key nonperturbative quantity in hadron physics.…

Nuclear Theory · Physics 2015-05-30 Craig D. Roberts

A symmetry-preserving truncation of the two-body bound-state problem in relativistic quantum field theory is used to compute the leading-twist parton distribution amplitudes (PDAs) for the first radial excitations of the $\pi$- and…

Nuclear Theory · Physics 2016-07-13 Bo-Lin Li , Lei Chang , Fei Gao , Craig D. Roberts , Sebastian M. Schmidt , Hong-Shi Zong

A simple confining separable interaction Ansatz for the rainbow-ladder truncated QCD Dyson-Schwinger equations is used to study quark deconfinement and meson states at finite temperature. The model is fixed at T=0 to implement quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Blaschke , Yu. L. Kalinovsky , P. C. Tandy

Modern facilities are poised to tackle fundamental questions within the Standard Model, aiming to reveal the nature of confinement, its relationship to dynamical chiral symmetry breaking (DCSB) - the origin of visible mass - and the…

Nuclear Theory · Physics 2017-04-05 Craig D. Roberts , Cedric Mezrag

A nonperturbative approach to 2D covariant gauge QCD is presented in the context of the Schwinger-Dyson equations for quark and ghost propagators and the corresponding Slavnov-Taylor identities. The distribution theory, complemented by the…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogohia , Gy. Kluge

The quark sector of Coulomb gauge quantum chromodynamics is considered within the functional integral approach. The quark contributions to the Dyson-Schwinger equations are derived and one-loop perturbative results for the two-point…

High Energy Physics - Phenomenology · Physics 2011-06-06 Carina Popovici

We study the stability of the highest symmetric solution (Wigner-solution) of Dyson-Schwinger equations in chiral limit and at zero temperature. Our results confirm that if the chemical potential is not very large, the QCD vacuum is in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wei Yuan , Huan Chen , Yu-xin Liu
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