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Present status of bottom up model: sample works
Y. Kim (APCTP_JRG) Outline 1. Low energy QCD and hQCD 2. Examples
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Low energy QCD and hQCD Mesons and baryons
(spontaneous) Chiral symmetry breaking Condensates Various EFTs
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Chiral symmetry at low energy
Note that gluons are flavor-blind : vector transform : axial-vector transform
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Chiral symmetry breaking
Explicit chiral symmtery breaking chiral limit: m=0 SSB of chiral symmetry
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Mesons and chiral symmetry
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Operator 5D bulk field
5D field contents Operator 5D bulk field [Operator] --- 5D mass
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Linear sigma-model * SSB
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chiral symmetry breaking in hQCD
Klebanov and Witten, 1999
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How about the vector meson?
* Gauged linear sigma model (with sigma) or Massive YM (without sigma) : * HLS, etc
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Hard-wall model
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Soft-wall model
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Dense AdS/QCD
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Examples from bottom-ups
Dense matter Heavy quarkonium Phase transition Nuclei, form factor, tensor meson, Skyrme model in hQCD, etc
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Mean field approach: 1. Chiral condensate 2. In-medium nucleon mass (iteratively)
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mean-field (scalar number density) only
What about mean-field approach + standard AdS/CFT (number density) ? Note, however, that the scalar in nuclear matter is not chiral partner of the pion in mean field approach. How to build a hQCD model with non-chiral scalar and U(1) vector?
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Isospin and strangeness matter: K-I. Kim, Y. Kim, S. H. Lee
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