English

A Little Large N Group Theory

High Energy Physics - Phenomenology 2016-09-06 v1

Abstract

We discuss the group theory relevant to the ground-state baryons in large N_c QCD. For very large representation, the group generators become classical variables. We find the form of the classical generators for the completely symmetric N index representation of SU(m)SU(m) as NN\rightarrow\infty and derive an integral formula for the matrix elements of an arbitrary polynomial in the group generators between low-spin baryon states in the large N limit.

Keywords

Cite

@article{arxiv.hep-ph/9611402,
  title  = {A Little Large N Group Theory},
  author = {Hael Collins and Howard Georgi},
  journal= {arXiv preprint arXiv:hep-ph/9611402},
  year   = {2016}
}

Comments

13 pages, LaTeX

R2 v1 2026-07-22T14:34:38.146Z