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The relationship between the nonperturbative Green's functions of Yang-Mills theory and the confinement potential is investigated. By rewriting the generating functional of quantum chromodynamics in terms of a heavy quark mass expansion in…

高能物理 - 理论 · 物理学 2015-03-13 C. Popovici , P. Watson , H. Reinhardt

We review the current status of nonperturbative studies of gauge field theory using the Dyson-Schwinger equation formalism and its application to hadronic physics. We begin with an introduction to the formalism and a discussion of…

高能物理 - 唯象学 · 物理学 2008-11-26 C. D. Roberts , A. G. Williams

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…

高能物理 - 唯象学 · 物理学 2011-06-06 Carina Popovici

We provide a study of quantum chromodynamics with the technique of Dyson-Schwinger equations in differential form. In this way, we are able to approach the non-perturbative limit and recover, with some approximations, the 't Hooft limit of…

高能物理 - 唯象学 · 物理学 2022-11-22 Marco Frasca

The heavy quark sector of Coulomb gauge QCD is investigated, by making a heavy quark mass expansion of the QCD action and restricting to the leading order. With the truncation of the Yang-Mills sector to include only dressed two-point…

高能物理 - 唯象学 · 物理学 2011-12-23 Carina Popovici , Peter Watson , Hugo Reinhardt

In a functional approach to QCD the infrared behaviour of Landau gauge Green functions is investigated. It can be proven that the ghost Dyson-Schwinger equation implies the Gribov-Zwanziger horizon condition. Its relation to the Kugo-Ojima…

高能物理 - 唯象学 · 物理学 2008-11-26 Reinhard Alkofer

After presenting a brief summary of functional approaches to QCD at vanishing temperatures and densities the application of QCD Green's functions at non-vanishing temperature and vanishing density is discussed. It is pointed out in which…

高能物理 - 唯象学 · 物理学 2015-03-17 Reinhard Alkofer , Mario Mitter , Bernd-Jochen Schaefer

The non-perturbative domain of QCD contains confinement, chiral symmetry breaking, and the bound state spectrum. For the calculation of the latter, the Coulomb gauge is particularly well-suited. Access to these non-perturbative properties…

高能物理 - 唯象学 · 物理学 2010-01-15 Reinhard Alkofer , Axel Maas , Daniel Zwanziger

Using a Dyson--Schwinger approach, we perform an analysis of the non-trivial ground state of thermal $SU(N)$ Yang--Mills theory in the non-perturbative regime where chiral symmetry is dynamically broken by a mass gap. Basic thermodynamic…

高能物理 - 唯象学 · 物理学 2025-04-03 Marco Frasca , Anish Ghoshal , Stefan Groote

We analyze various gravity theories involving de-Sitter, quadratic $\mathcal{R}^2$ and non-minimally coupled scalar in the light of application of the Dyson-Schwinger technique involving exact background solution of the Green's function. We…

广义相对论与量子宇宙学 · 物理学 2026-04-28 Marco Frasca , Anish Ghoshal

The Dyson-Schwinger equations arising from minimizing the vacuum energy density in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge are solved numerically. A new solution is presented which gives rise to a strictly linearly…

高能物理 - 理论 · 物理学 2008-11-26 D. Epple , H. Reinhardt , W. Schleifenbaum

A general method to treat non-Gaussian vacuum wave functionals in the Hamiltonian formulation of a quantum field theory is presented. By means of Dyson--Schwinger techniques, the static Green functions are expressed in terms of the kernels…

高能物理 - 理论 · 物理学 2010-12-21 Davide R. Campagnari , Hugo Reinhardt

The general method for treating non-Gaussian wave functionals in the Hamiltonian formulation of a quantum field theory, which was previously proposed and developed for Yang--Mills theory in Coulomb gauge, is generalized to full QCD. For…

高能物理 - 理论 · 物理学 2015-09-30 Davide R. Campagnari , Hugo Reinhardt

There have been many demonstrations of the utility of the Dyson-Schwinger equations of QCD as a systematic, phenomenological framework for describing the perturbative and non-perturbative dynamics of hadrons in terms of Euclidean Green…

核理论 · 物理学 2017-08-23 M. A. Pichowsky

We present the current status of ongoing efforts to use functional methods, Dyson-Schwinger equations and functional renormalization group equations, for the description of the infrared regime of nonabelian (pure) gauge theories in the…

高能物理 - 理论 · 物理学 2011-06-21 A. Weber , M. Leder , J. M. Pawlowski , H. Reinhardt

In a functional approach to QCD the infrared behaviour of Landau gauge Green functions is investigated. Positivity violation for, and thus confinement of, gluons is demonstrated, and the analytic structure of the gluon propagator is…

高能物理 - 唯象学 · 物理学 2009-06-25 Reinhard Alkofer , Christian S. Fischer , Markus Q. Huber , Felipe J. Llanes-Estrada , Kai Schwenzer

A truncation scheme for the Dyson-Schwinger equations of quantum chromodynamics in Coulomb gauge within the first order formalism is presented. The truncation is based on an Ansatz for the Coulomb kernel occurring in the action. Results at…

高能物理 - 唯象学 · 物理学 2013-05-30 Peter Watson , Hugo Reinhardt

We study quark confinement by computing the Polyakov loop potential in Yang--Mills theory within different non-perturbative functional continuum approaches [1]. We extend previous studies in the formalism of the functional renormalisation…

高能物理 - 唯象学 · 物理学 2013-02-07 Leonard Fister , Jan M. Pawlowski

Continuum strong QCD is the application of models and continuum quantum field theory to the study of phenomena in hadronic physics, which includes; e.g., the spectrum of QCD bound states and their interactions; and the transition to, and…

核理论 · 物理学 2016-05-25 C. D. Roberts , S. M. Schmidt

Non-perturbative properties of QCD, such as color confinement, are encoded in the infrared behavior of correlation functions, e.g. propagators and vertices. Various analytic predictions have been suggested for these quantities in various…

高能物理 - 格点 · 物理学 2010-11-15 Axel Maas , Attilio Cucchieri , Tereza Mendes
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