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We study the QCD color interactions between static two heavy quarks at zero temperature in a quenched SU(3) lattice gauge simulation: in addition to the standard singlet $q\bar{q}$ potentials, we calculate octet $q\bar{q}$ potentials,…

High Energy Physics - Lattice · Physics 2009-11-11 A. Nakamura , T. Saito

The coupled system of the quark-gluon vertex and quark propagator Dyson-Schwinger equations (DSEs) is investigated within Landau gauge QCD. The aim is to get a deeper insight into the mechanisms of quark confinement and dynamical chiral…

High Energy Physics - Phenomenology · Physics 2013-01-17 Markus Hopfer , Andreas Windisch , Reinhard Alkofer

We discuss a confining model for quark-antiquark system with a new color $SU_3$ gauge symmetry. New gauge transformations involve non-integrable phase factors and lead to the fourth-order gauge field equations and a linear potential. The…

High Energy Physics - Phenomenology · Physics 2014-07-09 Jong-Ping Hsu

Any practical application of the Schwinger-Dyson equations to the study of $n$-point Green's functions of a field theory requires truncations, the best known being finite order perturbation theory. Strong coupling studies require a…

Nuclear Theory · Physics 2017-03-29 Shaoyang Jia , M. R. Pennington

The resolution of Dyson-Schwinger equations leads to the freezing of the QCD running coupling (effective charge) in the infrared, which is best understood as a dynamical generation of a gluon mass function, giving rise to a momentum…

High Energy Physics - Phenomenology · Physics 2015-05-30 P. Gonzalez , V. Mathieu , V. Vento

The freedom one has in constructing locally gauge invariant charged fields in gauge theories is analyzed in full detail and exploited to construct, in QED, an electron field whose two-point function W(p), up to the fourth order in the…

High Energy Physics - Theory · Physics 2009-10-31 E. d'Emilio , S. Micciche

The possibility that gauge theories with chiral symmetry breaking below the conformal window exhibit an infrared fixed point is explored. With this assumption three aspects of pion physics are reproduced if the the quark mass anomalous…

High Energy Physics - Phenomenology · Physics 2023-08-16 Roman Zwicky

The infrared behavior of the quark propagator is studied at one loop and in the Landau gauge ($\xi=0$) using the screened massive expansion of full QCD and three different resummation schemes for the quark self-energy. The shift of the…

High Energy Physics - Theory · Physics 2021-10-20 Giorgio Comitini , Daniele Rizzo , Massimiliano Battello , Fabio Siringo

The infrared divergences of massless n-parton scattering amplitudes can be derived from the anomalous dimension of n-jet operators in soft-collinear effective theory. Up to three-loop order, the latter has been shown to have a very simple…

High Energy Physics - Phenomenology · Physics 2015-06-11 Valentin Ahrens , Matthias Neubert , Leonardo Vernazza

We establish a no-go result for the infrared sector of quantum electrodynamics. Using the standard Fock-space formulation, we show that gauge invariance enforces coherent soft-photon phases that guarantee the…

High Energy Physics - Theory · Physics 2026-02-12 Takeshi Fukuyama

We calculate the tensor and axial charges of the quark in the Schwinger-Dyson formalism of Landau gauge QCD. It is found that the dressed tensor and isovector axial charges of the quark are suppressed against the bare quark contribution,…

High Energy Physics - Phenomenology · Physics 2014-01-30 Nodoka Yamanaka , Takahiro M. Doi , Shotaro Imai , Hideo Suganuma

The infrared behavior of QED changes drastically in the presence of a strong magnetic field: the electron self-energy and the vertex function are infrared {\em finite}, in contrast with field-free QED, while new infrared divergences appear…

Astrophysics · Physics 2009-10-22 M. Kachelriess , D. Berg , G. Wunner

We study the color-dependent confining forces between two quarks by the quenched lattice simulations of Coulomb gauge QCD. The color-singlet and color-antitriplet instantaneous potentials yield attractive forces. The ratio of the string…

High Energy Physics - Lattice · Physics 2008-11-26 Y. Nakagawa , A. Nakamura , T. Saito , H. Toki

For the first time a rigorous quantum treatment of the Landau-Pomeranchuk-Migdal effect in QED and QCD is given. The rate of photon (gluon) radiation by an electron (quark) in medium is expressed through the Green's function of a…

High Energy Physics - Phenomenology · Physics 2011-05-05 B. G. Zakharov

If constituent quarks are to emerge from QCD they must have well defined colour and be energetically favoured. After reviewing the general properties of charges in gauge theories, a method for constructing charges is presented and applied…

High Energy Physics - Theory · Physics 2007-05-23 Emili Bagan , Robin Horan , Martin Lavelle , David McMullan

We review results for the phase diagram of QCD, the properties of quarks and gluons and the resulting properties of strongly interacting matter at finite temperature and chemical potential. The interplay of two different but related…

High Energy Physics - Phenomenology · Physics 2019-03-27 Christian S. Fischer

Starting from the observation that colour charge is only well defined on gauge invariant states, we construct perturbatively gauge invariant, dynamical dressings for individual quarks. Explicit calculations show that an infra-red finite…

High Energy Physics - Phenomenology · Physics 2009-10-28 Martin Lavelle , David McMullan

The infrared regime of fermionic Green and vertex functions is studied analytically within a geometric approach which simulates soft interactions by an {\it effective} theory of contours. Expanding the particle path integral in terms of…

High Energy Physics - Theory · Physics 2007-05-23 N. G. Stefanis

We write the 4-point Green function in QCD in the Feynman-Schwinger representation and show that all the dynamical information are contained in the Wilson loop average. We work out the QED case in order to obtain the usual Bethe-Salpeter…

High Energy Physics - Phenomenology · Physics 2014-11-17 Nora Brambilla , Antonio Vairo

Recent investigations of the Dyson-Schwinger equations and Monte-Carlo lattice calculations resulted in a coherent description of the fully dressed gluon, ghost and quark propagators in Landau gauge QCD. In the Dyson-Schwinger approach the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Alkofer , C. S. Fischer
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