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

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Presentation transcript:

Trento 10 Nucleons and Holography I. Zahed

Outline Holography 1-Nucleon 2-Nucleon -Nucleon

Holography Maldacena 97, Witten 98, …

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

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

Mesons: 4D Below : Sakai and Sugimoto 04

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

Shortcomings Mass,ChargeMass,Charge Expansion Upper cutoff chiral limit

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

Instanton in 5D Sakai and Sugimoto 07

Nucleon in 4D Kim and Zahed 08

Vector Meson Dominance Kim and Zahed 08

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

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

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

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:

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

ADHM: kxk

Defensive: ρ = 9.64

Combed: ρ = 9.64

Nucleon-Nucleon: Core 4D Coulomb Repulsion ! V1

Nucleon_Nucleon: Cloud

Many-Nucleon Rho, Sin, Zahed 09

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

1 Instanton  2 Dyons : 0<v<1!

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

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

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

Holographic Restoration LXR

Estimate of fcc  bcc KvLLfcc bcc

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

Melting Temperature Lindemann criterion:

Cold Phase Diagram T MeV n/n0 fcc: Skyrme crystal bcc: dyonic salt dyonic liquid

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