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Trento 10

Nucleons and Holography. I. Zahed. Trento 10. Outline. Holography 1-Nucleon 2-Nucleon -Nucleon. Holography. Maldacena 97, Witten 98, …. Mass, Charge. AdS /CFT. N=4 SYM. Dual. Maldacena 97’ . D4-D8: Nc > Nf. QCD < Mkk. Dual: . Witten 98’, Sakai-Sugimoto 04’.

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Trento 10

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  1. Nucleons and Holography I. Zahed Trento 10

  2. Outline • Holography • 1-Nucleon • 2-Nucleon • -Nucleon

  3. Holography Maldacena 97, Witten 98, …

  4. Mass, Charge AdS/CFT N=4 SYM Dual Maldacena 97’

  5. D4-D8: Nc>Nf QCD <Mkk Dual: Witten 98’, Sakai-Sugimoto 04’

  6. Mesons: 4D Below : Sakai and Sugimoto 04

  7. Baryon: Instanton Wrapped D4=Instanton D8=Skyrmion Atiyah+Manton 89!

  8. Mass, Charge Shortcomings • Expansion • Expansion • Upper cutoff • chiral limit

  9. 1-Nucleon Hong, Rho, Yee and Yi 07; Sakai and Sugimoto 07; Kim and Zahed 08

  10. Instanton in 5D Sakai and Sugimoto 07

  11. Nucleon in 4D Kim and Zahed 08

  12. Vector Meson Dominance Kim and Zahed 08

  13. EM Charge and Radius Core~1/λ Kim and Zahed 08

  14. Form Factor: E Hong, Rho, Yee and Yi 07, Sakai and Sugimoto 08, Kim and Zahed 08

  15. Cheshire Cat Principle MIT-bag BR-bag Skyrmion Nadkarni+Nielsen+Zahed 85, Rho …

  16. Lewis Caroll Cheshire Cat Alice in wonderland: MIT bag Skyrmion “I have often seen a cat without a grin but never a grin without a cat”

  17. 2-Nucleon Kim and Zahed 09; Hashimoto, Sakai and Sugimoto 09

  18. ADHM: kxk

  19. Defensive: ρ = 9.64

  20. Combed: ρ = 9.64

  21. Nucleon-Nucleon: Core V1 4D Coulomb Repulsion !

  22. Nucleon_Nucleon: Cloud

  23. Many-Nucleon Rho, Sin, Zahed 09

  24. Instanton with Holonomy 2L Krann, van Baal 98; Lee, Lu 98 = KvLL

  25. 1 Instanton 2 Dyons : 0<v<1!

  26. Array: InstantonsDyons (+,+) L Instanton 2L (-,-) A3: holonomy I=fccD=bcc

  27. Why Salt ? I-fcc D-bcc Order : BPS Order : non-BPS with size + and – form bcc with 0<v<1

  28. BCC of ½ Instantons To order ω-core repulsion between v and (1-v) : Repulsion balances v=1-v iev=1/2

  29. Holographic Restoration LXR

  30. Estimate of fccbcc bcc KvLL fcc

  31. Binding Energy Madelung Constant for salt MD=1.748, L=1 fm, ρ=L/√π

  32. Melting Temperature Lindemann criterion:

  33. Cold Phase Diagram T MeV dyonic liquid 30 fcc: Skyrme crystal 10 bcc: dyonic salt n/n0 1 3

  34. Summary • Baryons are Holograms of Instantons • 1,2 nucleons BPS (core) VMD (cloud) • Cold+Dense nuclei form a Dyonic Liquid

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