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Trento 10 Nucleons and Holography I. Zahed. Outline Holography 1-Nucleon 2-Nucleon -Nucleon.

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Presentation on theme: "Trento 10 Nucleons and Holography I. Zahed. Outline Holography 1-Nucleon 2-Nucleon -Nucleon."— Presentation transcript:

1 Trento 10 Nucleons and Holography I. Zahed

2 Outline Holography 1-Nucleon 2-Nucleon -Nucleon

3 Holography Maldacena 97, Witten 98, …

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

5 D4-D8: Nc>Nf QCD { "@context": "http://schema.org", "@type": "ImageObject", "contentUrl": "http://images.slideplayer.com/14/4353878/slides/slide_5.jpg", "name": "D4-D8: Nc>Nf QCD Nf QCD

6 Mesons: 4D Below : Sakai and Sugimoto 04

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

8 Shortcomings Mass,ChargeMass,Charge 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 “I have often seen a cat without a grin but never a grin without a cat” MIT bag Skyrmion Alice in wonderland:

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 4D Coulomb Repulsion ! V1

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 { "@context": "http://schema.org", "@type": "ImageObject", "contentUrl": "http://images.slideplayer.com/14/4353878/slides/slide_25.jpg", "name": "1 Instanton  2 Dyons : 0

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

27 Why Salt ? Order : BPS Order : non-BPS with size + and – form bcc with 0 { "@context": "http://schema.org", "@type": "ImageObject", "contentUrl": "http://images.slideplayer.com/14/4353878/slides/slide_27.jpg", "name": "Why Salt Order : BPS Order : non-BPS with size + and – form bcc with 0

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 KvLLfcc bcc

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 n/n0 fcc: Skyrme crystal bcc: dyonic salt 31 30 10 dyonic liquid

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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