A study of dense matter in a AdS/QCD model
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A study of dense matter in a AdS/QCD model
Y. Kim
Korea Institute for Advanced Study (KIAS),
with C.-H. Lee (PNU) and H. -U. Yee (KIAS)
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Contents
• Brief review on hard wall model• Dense AdS/QCD• Summary
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Let’s start from 2-flavor QCD andLet’s start from 2-flavor QCD andattempts to guess its 5D holographic dual,attempts to guess its 5D holographic dual,
AdS/CFT dictionaries.AdS/CFT dictionaries.
Bottom-up AdS/QCD model( look at QCD first !!! )
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5D field contents
Operator --- 5D bulk field
[Operator] --- 5D mass
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SU(2)LXSU(2)R gauge symmetry in AdS5
Current conservation --- gauge symmetry
5D Symmetry
Background: AdS5
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Confinement
Confinement --- IR cutoff in z direction
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Spontaneous chiral symmetry breaking
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Hard wall model
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Example: 4D vector meson mass
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Dense AdS/QCD
For example,
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In bottom-up approach,
So, the isospin or strange chemical potentialswill show up in the model, but not the baryon chemical potential.
At least in bottom-up with no explicit baryons, AdS/CFT may not help us with introducingthe baryon chemical potential into the game.Exception may be a anomaly related term.
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Hard wall model with baryons
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Mean field approach:
1. Chiral condensate
2. In-medium nucleon mass
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3. Vector meson mass splitting in asymmetric matter
Note that AdS/CFT is not be able to fix the relation betweenthe chemical potential and its conjugate density.
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Summary• With no explicit baryon fields, not much thing ma
y be done in bottom-up AdS/QCD at finite density, especially in the hard wall model.
• We turn on the baryon density in MFA.• Chiral condesate and nucleon mass decrease wit
h density.• We observe a mass splitting in the chared vector
mesons. • With omega-meson, we could introduce the baryo
n chemical potential without MFA (work in progress).