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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

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

Recently it has been argued that infrared singularities of the quark-gluon vertex of Landau gauge QCD can confine static quarks via a linear potential. It is demonstrated that the same mechanism also may confine fundamental scalar fields.…

高能物理 - 唯象学 · 物理学 2015-05-20 Reinhard Alkofer , Leonard Fister , Axel Maas , Veronika Macher

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

The infrared behavior of the quark-gluon vertex of quenched Landau gauge QCD is studied by analyzing its Dyson-Schwinger equation. Building on previously obtained results for Green functions in the Yang-Mills sector we analytically derive…

高能物理 - 唯象学 · 物理学 2009-11-13 Reinhard Alkofer , Christian S. Fischer , Felipe J. Llanes-Estrada , Kai Schwenzer

The quarks of quark models cannot be identified with the quarks of the QCD Lagrangian. We review the restrictions that gauge field theories place on any description of physical (colour) charges. A method to construct charged particles is…

高能物理 - 理论 · 物理学 2009-10-31 Emili Bagan , Robin Horan , Martin Lavelle , David McMullan

The infrared behaviour of Landau gauge QCD vertex functions is investigated employing a skeleton expansion of the Dyson-Schwinger and Renormalization Group equations. Results for the ghost-gluon, three-gluon, four-gluon and quark-gluon…

高能物理 - 唯象学 · 物理学 2008-11-26 R. Alkofer , C. S. Fischer , F. Llanes-Estrada , K. Schwenzer

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

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

We review aspects of confinement in the covariant and local description of QCD and discuss to what extend our present knowledge of the infrared behavior of QCD Green functions can support this description. In particular, we emphasize: the…

高能物理 - 唯象学 · 物理学 2007-05-23 Lorenz von Smekal , Reinhard Alkofer

Phenomenological consequences of the infrared singular, instantaneous part of the gluon propagator in Coulomb gauge are investigated. The corresponding quark Dyson-Schwinger equation is solved, neglecting retardation and transverse gluons…

高能物理 - 唯象学 · 物理学 2008-11-26 R. Alkofer , M. Kloker , A. Krassnigg , R. F. Wagenbrunn

I review recent results on the infrared properties of QCD from Dyson-Schwinger equations. The topics include infrared exponents of one-particle irreducible Green's functions, the fixed point behaviour of the running coupling at zero…

高能物理 - 唯象学 · 物理学 2008-11-26 Christian S. Fischer

Although nonperturbative functional methods are often associated with low energy Quantum Chromodynamics, contemporary studies indicate that they provide reliable tools to characterize a much wider spectrum of strongly interacting many-body…

高能物理 - 唯象学 · 物理学 2015-06-15 Carina Popovici

We discuss the properties of two different types of infrared solutions of Landau gauge Yang-Mills theory and argue for one of these (the 'scaling solution'). We furthermore clarify the status of previously obtained results from DSEs on a…

高能物理 - 唯象学 · 物理学 2009-03-31 Christian S. Fischer

The infrared behaviour of the n-point functions of a Yang-Mills theory with a charged scalar field in the fundamental representation of SU(N) is studied in the formalism of Dyson-Schwinger equations. Assuming a stable skeleton expansion…

高能物理 - 理论 · 物理学 2010-02-09 Leonard Fister

Recent studies of QCD Green's functions and their applications in hadronic physics are reviewed. We briefly discuss the issues of gauge fixing, BRS invariance and positivity. Evidence for the violation of positivity by quarks and transverse…

高能物理 - 唯象学 · 物理学 2010-02-18 Reinhard Alkofer , Lorenz von Smekal

The gauge invariant quark Green's function with a path-ordered phase factor along a straight-line is studied in two-dimensional QCD in the large-Nc limit by means of an exact integrodifferential equation. Its spectral functions are…

高能物理 - 唯象学 · 物理学 2010-07-26 H. Sazdjian

The properties of the gauge invariant two-point quark Green's function are studied in the large-Nc limit of two-dimensional QCD. The analysis is done by means of an exact integrodifferential equation. The Green's function is found infrared…

高能物理 - 唯象学 · 物理学 2012-01-31 H. Sazdjian

We summarize recent results on the nonperturbative quark-gluon interaction in Landau gauge QCD. Our analytical analysis of the infrared behaviour of the quark-gluon vertex reveals infrared singularities, which lead to an infrared divergent…

高能物理 - 唯象学 · 物理学 2008-11-26 Christian S. Fischer , Reinhard Alkofer , Felipe J. Llanes-Estrada , Kai Schwenzer

Two-quark--two-antiquark systems with four different quark flavors are considered in the framework of two-dimensional QCD, in the light-cone gauge, at leading orders of the $1/N_c^{}$ expansion. Introducing basis functions with…

高能物理 - 唯象学 · 物理学 2025-09-22 Hagop Sazdjian
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