English

How large is "large $N_c$" for Nuclear matter?

Nuclear Theory 2015-05-20 v1 High Energy Physics - Phenomenology

Abstract

We argue that a so far neglected dimensionless scale, the number of neighbors in a closely packed system, is relevant for the convergence of the large NcN_c expansion at high chemical potential. It is only when the number of colors is large w.r.t. this new scale (\order10\sim \order{10}) that a convergent large NcN_c limit is reached. This provides an explanation as to why the large NcN_c expansion, qualitatively successful in in vacuum QCD, fails to describe high baryo-chemical potential systems, such as nuclear matter. It also means that phenomenological claims about high density matter based on large NcN_c extrapolations should be treated with caution.

Cite

@article{arxiv.1101.0149,
  title  = {How large is "large $N_c$" for Nuclear matter?},
  author = {Giorgio Torrieri and Igor Mishustin},
  journal= {arXiv preprint arXiv:1101.0149},
  year   = {2015}
}

Comments

Proceedings of CPOD2010 conference, in Dubna. Results based on Phys.Rev.C82, 055202 (2010), http://arxiv.org/abs/1006.2471

R2 v1 2026-06-21T17:05:50.415Z