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
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
Neutrino emission in SN explosions
Fischer‘s Ouyed’stalks......
Compact Stars
F. Weber, 2005
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]
Cooling of compact stars
Major neutrino cooling processes in normal quark matter (1)
Major neutrino cooling processes in normal quark matter (2)
What's inside Neutrino Emissivityand How to derive it
Kadanoff-Baym equation
closed time path: solution to non-equilibrium problems
Kadanoff-Baym equation in close-time-path formalism:
Neutrino emissivity
number distrbution for electrons
leptonic tensor
hadronic tensor
G_F: Fermi coupling constant
Hadronic tensor
W-boson W-boson
encode all information about hadronic sector
NG,color,flavor,spin
Diquark condensate
Bailin, Love, 1884Alford, Rajagopal, Wilczek, 1998Rapp,Schaefer,shuryak, Velkovsky, 1998Son, 1999Rischke, Pisarski, 2000Brown, Liu, Ren, 2000......
Schaefer‘s, Hou’s Incera’stalks
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
Diquark condensate: spin-1 pairing
Schmitt, 2004
Diquark condensate: NG basis
Neutrino emission in spin-1 CSC
Why Spin-1 CSC
QCD at finite isospin density: pion condensation
Beta equilibrium
Son, Stephanov, 2001Kogut, Toublan, 2001He, Jin, Zhuang, 2005Splittorff's, Zhuang's talks
Hadronic tensor: pion condensate
Phase space
Baym,Chin,1976Iwamoto, 1984Schafer,Schwenzer, 2003QW,Wang,Wu, 2006
Neutrino emissivity in spin-1 CSC
Low-T limit
1. Schmitt, Shovkovy,QW, PRD, 2006
2. QW,Wang,Wu, PRD, 2006
Neutrino emissivity in spin-1 CSC
Anisotropy in neutrino emission in A-phase
Schmitt, Shovkovy,QW, PRL, 2005
Low-T asymptotic form
Specific heat in spin-1 CSC
Specific heat in spin-1 CSC
Cooling of spin-1 CSC
Neutrino emissivity in pion-condensed quark matter
Huang, QW, Zhuang, PRD, 2007
Neutrino emissivity in pion-condensed quark matter
Huang, QW, Zhuang, PRD, 2007
Cooling of pion-condensed quark matter
Huang, QW, Zhuang, PRD, 2007
Cooling of pion condensed LOFF state
Huang, QW, Zhuang, IJMPE, 2008
Neutrino emissivity of pion condensed LOFF state
Huang, QW, Zhuang, IJMPE, 2008
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