Present status of bottom up model: sample works

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Presentation transcript:

Present status of bottom up model: sample works Y. Kim (APCTP_JRG) Outline 1. Low energy QCD and hQCD 2. Examples

Low energy QCD and hQCD Mesons and baryons (spontaneous) Chiral symmetry breaking Condensates Various EFTs

Chiral symmetry at low energy Note that gluons are flavor-blind : vector transform : axial-vector transform

Chiral symmetry breaking  Explicit chiral symmtery breaking  chiral limit: m=0  SSB of chiral symmetry

Mesons and chiral symmetry 

Operator  5D bulk field 5D field contents Operator  5D bulk field [Operator] --- 5D mass

Linear sigma-model * SSB 

chiral symmetry breaking in hQCD Klebanov and Witten, 1999

How about the vector meson? * Gauged linear sigma model (with sigma) or Massive YM (without sigma) : * HLS, etc

Hard-wall model

Soft-wall model

Dense AdS/QCD

Examples from bottom-ups Dense matter Heavy quarkonium Phase transition Nuclei, form factor, tensor meson, Skyrme model in hQCD, etc

Mean field approach: 1. Chiral condensate 2. In-medium nucleon mass (iteratively)

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?

Isospin and strangeness matter: K-I. Kim, Y. Kim, S. H. Lee