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Neutrino emissions in color superconductors and pion condensed quark matter
Qun Wang (王群 )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
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Neutrino emission in SN explosions
Fischer‘s Ouyed’stalks......
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Compact Stars
F. Weber, 2005
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SN+GRB : NS = Sex-Violence : Beauty-Peace
Chinese Cuisine:Flavor Color
A new "equation of state"
中国美食元素 : 色香味
Playgroundfor QCD[and all aspects of physics]
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Cooling of compact stars
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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
W-boson W-boson
encode all information about hadronic sector
NG,color,flavor,spin
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Diquark condensate
Bailin, Love, 1884Alford, Rajagopal, Wilczek, 1998Rapp,Schaefer,shuryak, Velkovsky, 1998Son, 1999Rischke, Pisarski, 2000Brown, Liu, Ren, 2000......
Schaefer‘s, Hou’s Incera’stalks
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Diquark condensate
Schaefer, 2000Schmitt, Wang, Rischke, 2002, 2003Alford,Bowers,Cheyne,Cowan,2003Buballa,Hosek,Oertel, 2003Aguilera,Blaschke,Buballa,Yudichev, 2005Marhauser,Nickel,Buballa,Wambach, 2007
Spin-1 pairing
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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, 2001Kogut, Toublan, 2001He, Jin, Zhuang, 2005Splittorff's, Zhuang's talks
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Hadronic tensor: pion condensate
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Phase space
Baym,Chin,1976Iwamoto, 1984Schafer,Schwenzer, 2003QW,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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Low-T asymptotic form
Specific heat in spin-1 CSC
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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