Gauge Sector Dynamics in QCD

Abstract

The dynamics of the gauge sector of QCD give rise to nonperturbative phenomena that are crucial for the internal consistency of the theory; most notably, they account for the generation of a gluon mass through the action of the Schwinger mechanism, the taming of the Landau pole and the ensuing stabilization of the gauge coupling, and the infrared suppression of the three-gluon vertex. In the present work, we review some key advances in the ongoing investigation of this sector within the framework of the continuum Schwinger function methods, supplemented by results obtained from lattice simulations.

57 pages, 23 figures

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• A comprehensive approach to the physics of mesons
• Spinning Pairs: Supporting ${}^3{P}_0$ Quark-Pair Creation from Landau Gauge Green's Functions
• Gauge invariant spectral analysis of quark hadronization dynamics
• Everlasting interaction: polarization summation without a Landau pole
• Gribov copies in the quark propagator
• Derivation of Meson Masses in SU(3) and SU(4) Extended Linear-Sigma Model at Finite Temperature