Dense holographic QCD in the Wigner-Seitz approximationopen access
- Authors
- Kim, Keun-Young; Sin, Sang-Jin; Zahed, Ismail
- Issue Date
- Sep-2008
- Publisher
- SPRINGER
- Keywords
- gauge-gravity correspondence; AdS-CFT correspondence
- Citation
- JOURNAL OF HIGH ENERGY PHYSICS, no.9, pp.1 - 21
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF HIGH ENERGY PHYSICS
- Number
- 9
- Start Page
- 1
- End Page
- 21
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/177995
- DOI
- 10.1088/1126-6708/2008/09/001
- ISSN
- 1126-6708
- Abstract
- We investigate cold dense matter in the context of Sakai and Sugimoto's holographic model of QCD in the Wigner-Seitz approximation. In bulk, baryons are treated as instantons on S-3 x R-1 in each Wigner-Seitz cell. In holographic QCD, Skyrmions are instanton holonomies along the conformal direction. The high density phase is identified with a crystal of holographic Skyrmions with restored chiral symmetry at about 4M(KK)(3)/pi(5). As the average density goes up, it approaches to uniform distribution while the chiral condensate approaches to p-wave over a cell. The chiral symmetry is effectively restored in long wavelength limit since the chiral order parameter is averaged to be zero over a cell. The energy density in dense medium varies as n(B)(5/3), which is the expected power for non-relativistic fermion. This shows that the Pauli exclusion effect in boundary is encoded in the Coulomb repulsion in the bulk.
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