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Revisiting Holographic Nuclear Matter in AdS/QCD
Kyung-il Kim, Youngman Kim
Feburary , 24th, 2009
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Contents
• Introduction to AdS/QCD model for Baryons– Bottom-Up Approach
• Nolen-Schiffer Anomaly– Isospin density effect on nucleon masses
• Vacuum shift effect on mass– Nucleon masses under quark condensate
change under low temperature and low density
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1. Intoruction to AdS/QCD Model
For Baryons
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AdS/CFT Correspondence
Closed String : GravityOpen String : Gauge Theory
Propagate Dual
AdS Gravity N=4 SYM Theory
4D generating functional 5D classical effective action
Operator 5D bulk field
[Operator] 5D mass
Current conservation Gauge symmetry
Resonances Klauza-Klein states
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AdS/CFT Dictionary
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Hard Wall Model
AdS5 space is compactified such that
UV IR
z
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Nucleons in Finite Densities
The effective action for nucleons,
The equation of motion is given by
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The scalar field at boundary
Nucleons in Finite Densities
The equation of motion for proton with finite baryon densities,
where,
5D dual field of 4D quark field and 4D chemical potential
The time component of vector field
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Nucleon in Dense Medium
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2. Nolen-Schiffer Anomaly
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Nolen-Schiffer Anomaly
The anomaly is the failure of theory to explain the mass differ-ences between mirror nuclei or analog states.
increases with the mass number A and amounts to ~900 keV for A=208 .
The mass difference between mirror nuclei
If one assume that effective neutron-proton difference is con-stant, this equation is not satisfied
A possible resolution of the anomaly is the assumption that the effective mass diff. would decrease
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AdS/QCD Approach
The isospin structure of model,
The quark mass difference
The isospin densities
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NS anomaly
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3. Mass Decrease by Vacuum Energy Shift
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The Quark Condensate
The quark condensate at low temperature
The quark condensate at low density
The quark mass and condensate in AdS model.
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Proton mass with Low T and Low Density
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Thank you!
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Summary and Outlook
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4. Walecka Model
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Walecka Model