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