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)
Contents
• Brief review on hard wall model• Dense AdS/QCD• Summary
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 !!! )
5D field contents
Operator --- 5D bulk field
[Operator] --- 5D mass
SU(2)LXSU(2)R gauge symmetry in AdS5
Current conservation --- gauge symmetry
5D Symmetry
Background: AdS5
Confinement
Confinement --- IR cutoff in z direction
Spontaneous chiral symmetry breaking
Hard wall model
Example: 4D vector meson mass
Dense AdS/QCD
For example,
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.
Hard wall model with baryons
Mean field approach:
1. Chiral condensate
2. In-medium nucleon mass
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.
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).
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