English

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

High Energy Physics - Theory 2021-04-27 v1 High Energy Physics - Phenomenology

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(NN) color factors within these bases, extending the discussion in Ref. [1].

Keywords

Cite

@article{arxiv.2104.12139,
  title  = {SU($N$) Cartan-Weyl bases and color factors},
  author = {Duifje Maria van Egmond and Urko Reinosa},
  journal= {arXiv preprint arXiv:2104.12139},
  year   = {2021}
}

Comments

27 pages, 1 figure