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

Duifje Maria van Egmond; Urko Reinosa

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

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2104.12139 v1 pith:WTYGIYR3 submitted 2021-04-25 hep-th hep-ph

Duifje Maria van Egmond , Urko Reinosa This is my paper · ORCID

classification hep-thhep-ph

keywords basescolorbackgroundscartan-weyldiscussionfactorsbecomebeen

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

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].

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Bloch Waves, Magnetization and Domain Walls: The Case of the Gluon Propagator
hep-lat 2025-06 conditional novelty 5.0 of 10

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.

Pith tools