4.0 Article

How large is large Nc for nuclear matter?

Journal

PHYSICS OF ATOMIC NUCLEI
Volume 75, Issue 6, Pages 713-717

Publisher

PLEIADES PUBLISHING INC
DOI: 10.1134/S1063778812060324

Keywords

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Funding

  1. DFG, Germany [436RUS 113/711/0-2]
  2. DFG, Russia [NS-7235.2010.2]
  3. Helmholtz International Center for FAIR
  4. Columbia University

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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 that a convergent large-N (c) limit is reached. This provides an explanation as to why the large-N (c) expansion, qualitatively successful 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. This work is based on [1].

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