Infrared exponents and running coupling of SU(N) Yang–Mills theories

By C. Fischer, R. Alkofer. 2002

150 citations recorded by the source corpus.

Abstract We present approximate solutions for the gluon and ghost propagators as well as the running coupling in Landau gauge Yang–Mills theories. We solve the corresponding Dyson–Schwinger equations in flat Euclidean spacetime without any angular approximation. This supplements recently obtained results employing a four-torus, i.e., a compact spacetime manifold, as infrared regulator. We confirm previous findings deduced from an extrapolation with tori of different volumes: the gluon propagator is weakly vanishing in the infrared and the ghost propagator is highly singular. For non-vanishing momenta our propagators are in remarkable agreement with recent lattice calculations.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/cf9fc9188ba8acc0ee8a5861c6de21e6f9a82191

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In Nuclear and High Energy Physics

Citations in the corpus

QCD at finite temperature and chemical potential from Dyson–Schwinger equations (2018, background): “At the end of the nineties, the importance of these contributions have been realised [310–313] and subsequently full numerical solutions of the coupled ghost and gluon DSE have been obtained [314] and expanded to also include the quark-DSE in a self-consistent scheme [284].”
Nonperturbative properties of Yang–Mills theories (2018, methodology): “Besides the Brown-Pennington projector, also modifications of the integrands [176, 374, 415–419], modifications of the vertices [53], fitting the momentum [269, 380] or the cutoff dependence [183], or additional counterterms [24, 175, 188, 420, 421] were used.”
Nonperturbative Faddeev-Popov formula and the infrared limit of QCD (2003, background): “Recent solutions of the truncated coupled DS equations for the gluon and ghost propagators yield ghost propagators that are enhanced in the infrared, and gluon propagators that are infrared suppressed [17], [18], [19], [20], [21], [22], [23], and [3].”