Cold Nuclear Matter In Holographic QCD

By M. Rozali, Hsien-Hang Shieh, Mark Van Raamsdonk, Jackson M. S. Wu. 2007

169 citations recorded by the source corpus.

We study the Sakai-Sugimoto model of holographic QCD at zero temperature and finite chemical potential. We find that as the baryon chemical potential is increased above a critical value, there is a phase transition to a nuclear matter phase characterized by a condensate of instantons on the probe D-branes in the string theory dual. As a result of electrostatic interactions between the instantons, this condensate expands towards the UV when the chemical potential is increased, giving a holographic version of the expansion of the Fermi surface. We argue based on properties of instantons that the nuclear matter phase is necessarily inhomogeneous to arbitrarily high density. This suggests an explanation of the "chiral density wave" instability of the quark Fermi surface in large N_c QCD at asymptotically large chemical potential. We study properties of the nuclear matter phase as a function of chemical potential beyond the transition and argue in particular that the model can be used to make a semi-quantitative prediction of the binding energy per nucleon for nuclear matter in ordinary QCD.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/071d7746c9ec2e86b7ecf281565cb717f60a09a3

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In Astronomy and Astrophysics

  1. E. Silverstein
  2. David Tong
  3. S. Hartnoll
  4. J. Polchinski
  5. S. Sachdev
  6. R. Kallosh
  7. Liam McAllister
  8. A. Rebhan

In Nuclear and High Energy Physics

  1. E. Silverstein
  2. David Tong
  3. S. Hartnoll
  4. J. Polchinski
  5. S. Sachdev
  6. Blaise Goutéraux
  7. S. Kachru
  8. R. Kallosh

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