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

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

2010-12-30

arxiv.org/abs/1101.0149v1

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

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 $N_c$ expansion at high chemical potential. It is only when the number of colors is large w.r.t. this new scale ($\sim \order{10}$) that a convergent large $N_c$ limit is reached. This provides an explanation as to why the large $N_c$ 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 $N_c$ extrapolations should be treated with caution.

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