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QCD Phase Structure at High Baryon Density
T. Hatsuda (University of Tokyo)

• contents
• Introduction
• Ginzburg-Landau approach to Dense QCD (1)
• Continuity in Dense QCD (2,3)
  
• UCA/QCD Correspondence (4)
• Summary

• Tachibana, Yamamoto, Baym T.H., PRL 97
  (2006) 122001 PRD 76 (2007) 074001.
• Tachibana, Yamamoto T.H., PRD 78
  (2008) 011501.
• Maeda, Baym and T.H., PRL
  103 (2009) 085301
• (4) Abuki, Baym, Yamamoto and T.H., arXiv
  1003.0408 hep-ph

NFQCD, March 10, 2010
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H2O
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Symmetry realization in hot/dense QCD(for
mu,d,s0 case)
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QCD and high temperature superconductivity
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Transition at Finite T
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Ginzburg-Landau-Wilson analysis in hot QCD
Pisarski Wilczek (84)
Symmetry
Chiral field
Chiral transformation
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Order of the thermal QCD transition (µ0)
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Transition at Finite T
Asakawa-Yazaki CP
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Transition at finite µ
CP

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Mass-Radius relation of Neutron Stars and dense
EOS
Thermonuclear Burst in X-ray Binaries 4U 1608-248
EXO 1745-248 4U 1820-30
Ozel, Baym Guver, arXiv 1002.3153 astro-ph.HE
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Color superconductivity at high density
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GL analysis for chiral-super interplay in QCD
(Nf3)
Symmetry
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Yamamoto, Tachibana, Baym T.H., PRL 97
(06), PRD 76 (07)
Complete classification of the GL potential
(mu,d,s0)
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Chiral-CFL interplay in Nf3
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phase diagram (without d-s coupling)
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phase diagram (with d-s coupling)
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phase diagram (with d-s coupling quark mass)
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NJL model with axial anomaly (mumdms)
Abuki, Baym, Yamamoto and T.H., arXiv 1003.0408
hep-ph
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Spectral continuity at finite µ
CP induced by Higgs
CP induced by anomaly
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UCA/QCD correspondence
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Maeda, Baym and Hatsuda, Phys. Rev. Lett. 103
(2009) 085301
Atomic BF mixture
s-wave boson-fermion scattering length
strong
0
0
weak
0
-0
weak
strong
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Induced superfluidity of composite fermions -- a
novel analogy between cold atoms and QCD --
Maeda, Baym Hatsuda, Phys. Rev. Lett. 103 (09)
weak (bf)-(bf) attraction ? strong b-f attraction
baryon superfluidity ? strong diqark
correlation
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Phase structure and symmetry
Broken and residual symmetries (continuous
symmetries)
The Hamiltonian density has
symmetry.
N-BCS b-BEC

broken
residual
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Y. Nambu, Nobel Lecture (Dec.8, 2008), page 24/25
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Summary and Future

• QCD phase structure
• Three major phases in QCD ?SB, QGP
  and CSC
• Axial anomaly plays crucial roles
  everywhere
• Close similarity with high Tc
  supercond. multi-comp. cold atoms
• Chiral-super interplay driven by axial anomaly
• A new critical point at low T and
  high µ
• Continuity of ?SB phase and CSC phase
• Spectral continuity in high density QCD
• Pions are pions.
• Vector mesons are gluons.
• 4. Future
• Real location of the new critical point ?
• How to detect critical lines and points in
  lab. experiment ?