Infrared properties of QCD from Dyson-Schwinger equations

By C. Fischer. 2006

296 citations recorded by the source corpus.

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 momentum, the pattern of dynamical quark mass generation and properties of light mesons.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8f1d746d01e1c5fa6ca8601c21b2903b57fc121f

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In Nuclear and High Energy Physics

Citations in the corpus

The QCD running coupling (2016, methodology): “n uence on the IR-behavior of s is open. (The gauge-dependence subsides in the UV regime). Fisher has reported that couplings computed in gauges close to the Landau gauge have a weak gauge-dependence [223]. Fischer and Zwanziger [311] have studied the gauge-dependence of the scaling solution of gh s”
The Infrared Behaviour of the Pure Yang–Mills Green Functions (2005, background): “8 by Fischer [167]; the shape is very similar.”
Light-front holographic QCD and emerging confinement (2014, methodology): “Other methods, as for example the DysonSchwinger equations, have also led to many important insights, such as the infrared fixed-point behavior of the strong coupling constant and the pattern of dynamical quark mass generation [9, 10, 11, 12].”
The nonperturbative functional renormalization group and its applications (2020, unknown): “[657, 722, 725–727, 730, 735–750] and references therein.”
QCD at finite temperature and chemical potential from Dyson–Schwinger equations (2018, background): “Many more details can be found in a number of review articles focusing on different aspects [15, 178, 193, 268–270, 300–306].”
Pinch Technique: Theory and Applications (2009, background): “It is interesting to mention that the non-perturbative transverse gluon propagator, being finite in the IR, is automatically less singular than a simple pole, thus satisfying the corresponding Kugo-Ojima confinement criterion [226,227].”
Nonperturbative QCD Simulations with 2+1 Flavors of Improved Staggered Quarks (2009, methodology): “They are often treated semi-analytically in the context of Dyson-Schwinger equations, see Roberts (2008) and Fischer (2006) for recent reviews.”