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

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 $N_c$ 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.

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

References in corpus (5)

• Cold Nuclear Matter In Holographic QCD
• Holographic Nuclear Physics
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• The pressure of the SU(N) lattice gauge theory at large-N
• The nuclear liquid-gas phase transition at large $N_c$ in the Van der Waals approximation

Cited by in corpus (1)

• Does nuclear matter bind at large $N_c$?