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arXiv · hep-ph/0202202

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

C. S. Fischer·R. Alkofer
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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.

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C. S. Fischer, R. Alkofer. 2002-02-21. Infrared Exponents and Running Coupling of SU(N) Yang-Mills Theories. https://doi.org/10.1016/s0370-2693(02)01809-9

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