Replicated-lattice gauge fixing has an exact Bloch-wave structure, giving a selection rule for nonzero gluon-propagator momenta and enabling all cost to stay on the small lattice.
SU($N$) Cartan-Weyl bases and color factors
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abstract
Constant temporal backgrounds have become a convenient tool for the discussion of continuum non-abelian gauge theories at finite temperature, as they provide a grasp on the confinement/deconfinement transition. It has been pointed that such backgrounds are better dealt with within so-called Cartan-Weyl color bases, rather than within the standard Cartesian bases. Here, we discuss the specificities of the evaluation of SU($N$) color factors within these bases, extending the discussion in Ref. [1].
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Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator
Replicated-lattice gauge fixing has an exact Bloch-wave structure, giving a selection rule for nonzero gluon-propagator momenta and enabling all cost to stay on the small lattice.