Infrared Exponents and Running Coupling of SU(N) Yang-Mills Theories

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 space-time without any angular approximation. This supplements recently obtained results employing a four-torus, i.e. a compact space-time 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.

11 pages, 4 figures

References in corpus (2)

• On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
• The Elusiveness of Infrared Critical Exponents in Landau Gauge Yang--Mills Theories

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