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arXiv · 2104.12139

SU($N$) Cartan-Weyl bases and color factors

Duifje Maria van Egmond·Urko Reinosa
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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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Duifje Maria van Egmond, Urko Reinosa. 2021-04-25. SU($N$) Cartan-Weyl bases and color factors. https://arxiv.org/abs/2104.12139

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