contents: 1. introduction/ model 2. meson properties at finite temperature 3. chemical...
DESCRIPTION
[ ] ) U(1) BreakingTRANSCRIPT
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Contents: 1 . Introduction/ Model
2.Meson Properties at Finite Temperature
3. Chemical Potential/ Phase Diagram
4. Summary
Trento 06/June 20
Holographic Model for Mesons at Finite Temperature
K.G, A. Nakamura, M. Yahiro, M, Tachibana, N. Uekusa, hep-ph/0512289, 0605026
Kazuo Ghoroku (Fukuoka Inst. of Tech.)
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Start with IIB super-string of 10 D1. Introduction
N=4 SYM is not QCD we must deform AdS5
And we find a solution which leads to quark confinement
Strong coupling at IR region confinementmagnetic gauge condensate string tention∝
(Wilson loop)
[GY, Evans]
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[
] )
U(1) Breaking
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Then
After getting w(ρ), the meson spectra are obtained from the fluctuations of the fields in D7 brane action
[Evans]
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solutions for w(ρ) (with various parameters (mq,c))
2. There is a minimum of r
[GY, Evans et al]Under the conditions(i)D3/D7 repulsion, (ii)SUSY breaking on D7
Results
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Extend to finite temperature
[Erlich-Katz-Son-Stephanov][Rold-Pomarol]
[Braga IR brane glueball]
[Evans D7 induced action]
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• c is assumed to be independent of T here
• v(z) has a logarithmic divergence
• c(T) will cure the second point, but now we can not
extend the above solution to T Tc
The two parameters are fixed as
Profile v(z) and CSB
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Mass Spectrum
(ii) Boundary conditions are taken as(i) For any field φ, we assume
*Improved in D7 induced action Evans
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Mild T-dep
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mild the enhancement near zm (ii)
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Red line shows the section chosen
[Son-Starinets]The stability condition is given as
Stable region
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confinement
QGP Red line shown in the Fig.(A)
The critical temperature and Phase diagram is given as follows
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Meson spectrum
1.
2. Solve the profile function v(z)
3. Solve the EOM of fluctuations
Mass is controlled
(0< z <zm)
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The κdep of
for T=40MeV
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Under the boundary condition
Estimated on the critical line
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1.
2.
on the critical curve
This is seen along two paths
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(i) are consistent with chiral perturbation [Toulban]
(ii)
2. (generalized) GOR relation is good
1. T-dependences are consistent with the other approaches
4. Chemical potential induced by R-charges leads to a phase diagram similar to the one expected in QCD
3.
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This could resolve the singularity of v(z) at T= Tc
We must go back to D3/D7 string theory
[Evans]