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Exploring Low-Energy QCD and hQCD Models with Bottom-Up Approach

Learn about the current status of bottom-up models through examples in low-energy QCD and hQCD, including chiral symmetry, mesons, dense matter, and more. Explore the dynamics of chiral symmetry breaking and the application of mean-field approaches. Discover insights into building hQCD models with non-chiral scalars and U(1) vectors.

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Exploring Low-Energy QCD and hQCD Models with Bottom-Up Approach

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

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

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

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

  5. Mesons and chiral symmetry

  6. 5D field contents Operator  5D bulk field [Operator] --- 5D mass

  7. Linear sigma-model * SSB 

  8. chiral symmetry breaking in hQCD Klebanov and Witten, 1999

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

  10. Hard-wall model

  11. Soft-wall model

  12. Dense AdS/QCD

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

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

  16. 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?

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

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