Neutrino emissions in color superconductors and pion condensed quark matter

1
Neutrino emissions in color superconductors and
pion condensed quark matter

• Qun Wang (??)
• Univ of Sci Tech of China
• with X.G.Huang, A.Schmitt, I.Shovkovy, J.Wu,
  P.F.Zhuang
• CSQCDII, KIAA-Peking Univ, May 20-24, 2009

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Outlines

• Neutrino emissivity in quark matter
• Introduction to CSC and pion condensed quark
  matter
• Neutrino emissivities in direct Urca processes in
  CSC and pion condensed quark matter
• Conclusions

3
Neutrino emission in SN explosions
Fischers Ouyeds talks ......
4
Compact Stars
F. Weber, 2005
5
A new "equation of state"
SNGRB NS Sex-Violence Beauty-Peace
Playground for QCD and all aspects of physics
Chinese Cuisine Flavor Color
?????? ???
6
Cooling of compact stars
7
Major neutrino cooling processes in normal quark
matter (1)
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Major neutrino cooling processes in normal quark
matter (2)
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What's inside Neutrino Emissivityand How to
derive it
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Kadanoff-Baym equation
closed time path solution to non-equilibrium
problems
Kadanoff-Baym equation in close-time-path
formalism
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Neutrino emissivity
number distrbution for electrons
leptonic tensor
hadronic tensor
G_F Fermi coupling constant
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Hadronic tensor
NG,color,flavor,spin
W-boson
W-boson
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Diquark condensate
Bailin, Love, 1884 Alford, Rajagopal, Wilczek,
1998 Rapp,Schaefer,shuryak, Velkovsky, 1998 Son,
1999 Rischke, Pisarski, 2000 Brown, Liu, Ren,
2000 ......
Schaefers, Hous Inceras talks
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Diquark condensate
Spin-1 pairing
Schaefer, 2000 Schmitt, Wang, Rischke, 2002,
2003 Alford,Bowers,Cheyne,Cowan,2003 Buballa,Hosek
,Oertel, 2003 Aguilera,Blaschke,Buballa,Yudichev,
2005 Marhauser,Nickel,Buballa,Wambach, 2007
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Diquark condensate spin-1 pairing
Schmitt, 2004
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Diquark condensate NG basis
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Neutrino emission in spin-1 CSC
Why Spin-1 CSC
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QCD at finite isospin density pion condensation
Beta equilibrium
Son, Stephanov, 2001 Kogut, Toublan, 2001 He,
Jin, Zhuang, 2005 Splittorff's, Zhuang's talks
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Hadronic tensor pion condensate
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Phase space
Baym,Chin,1976 Iwamoto, 1984 Schafer,Schwenzer,
2003 QW,Wang,Wu, 2006
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Neutrino emissivity in spin-1 CSC
Low-T limit
1. Schmitt, Shovkovy, QW, PRD, 2006 2.
QW,Wang, Wu, PRD, 2006
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Neutrino emissivity in spin-1 CSC
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Anisotropy in neutrino emission in A-phase
Schmitt, Shovkovy, QW, PRL, 2005
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Specific heat in spin-1 CSC
Low-T asymptotic form
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Specific heat in spin-1 CSC
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Cooling of spin-1 CSC
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Neutrino emissivity in pion-condensed quark matter
Huang, QW, Zhuang, PRD, 2007
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Neutrino emissivity in pion-condensed quark matter
Huang, QW, Zhuang, PRD, 2007
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Cooling of pion-condensed quark matter
Huang, QW, Zhuang, PRD, 2007
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Cooling of pion condensed LOFF state
Huang, QW, Zhuang, IJMPE, 2008
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Neutrino emissivity of pion condensed LOFF state
Huang, QW, Zhuang, IJMPE, 2008
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Summary

• A systematic way of deriving neutrino emissivity
  in CSC and pion condensed quark matter
• For the A-phase of spin-1 pairing, the neutrino
  emission is anisotropic, an instance for parity
  violation in macroscopic object