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CMB power spectra from the coupling between quintessence and pseudoscalar of electromagnetism

CMB power spectra from the coupling between quintessence and pseudoscalar of electromagnetism. The 2nd KIAS WORKSHOP ON COSMOLOGY AND STRUCTURE FORMATION. Guo Chin Liu (ASIAA) Seokcheon Lee(ASIoP) Kin-Wan Ng (ASIoP, ASIAA). Necessary of Dark energy. Hubble Diagram for SCP.

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CMB power spectra from the coupling between quintessence and pseudoscalar of electromagnetism

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  1. CMB power spectra from the coupling betweenquintessence and pseudoscalar of electromagnetism The 2nd KIAS WORKSHOP ON COSMOLOGY AND STRUCTURE FORMATION Guo Chin Liu (ASIAA) Seokcheon Lee(ASIoP) Kin-Wan Ng (ASIoP, ASIAA)

  2. Necessary of Dark energy Hubble Diagram for SCP

  3. Cosmological constant and Quintessence • Cosmological constantCost of having space: a volume of space have intrinsic energyconstant on space and timeProblem: 120 orders of magnitude smaller than prediction by quantum field theories • QuintessenceDescribed by dynamical scalar field Can vary with space and time V()=V0e(52/2) V()=V0cosh(5)

  4. Equation of state w=p/ Cosmological constant: w=-1 Quintessence : wQ: w0, w0+(1-a)w1, oscillating…. • Supernova type Ia : probe the geometry of universeCaution: assuming uniform intrinsic luminosity • CMB : good constraint on small curvatureCaution : no time evolution data • Large scale structure : evolution of geometry of universe and growth factor D(z) Caution: depend on CDM model for structure formation No strong evidence that we need it Quintessence survives a. Assume flat universe and const. w w=-1.05+0.15-0.2 Knop et al.2004 (SN) b. time evolution w=w0+ (1-a)w1 w0=-1.146+0.176-0.178 w1=0.6+0.622-0.652 --no dark energy perturbation w0=-1.118+0.152-0.147 w1=0.499+0.453-0.498 -- with dark energy perturbationG-B Zhao et al. 2006(SN+CMB+galaxy clustering)

  5. New window on studying Quintessence • Coupling with matter-- change the CMB and matter power spectrumS. Lee, GC Liu & KW Ng 2006 • Coupling with electromagnetic field-- time variation of fine structure D-S Lee, W Lee, K-W Ng 2003, S.Lee, K. Olive, M. Pospelov • Coupling with psuedoscalar eletromagnetismFF/M => cosmological birefringence effectCarroll 1998: coupling strength M: reduced Planck MassF : dual of electromagnetic tensor

  6. Cosmological Birefringence -- rotate the pol. plane Dispersion : E2=k2kd/d/a/M =2 d/d/a/M

  7. Effects from Cosmological Birefringence • Generate B mode polarizationassuming no tensor perturbationGenerate Stokes parameter U due to rotationB mode because of the existence of U in local coordinate • Violate the parityLue et al. 1999, Lepora 1998 <TT>, <TE>, <EE>, <BB> + <EB>, <TB> parity violation part

  8. E and B mode power spectrum C’El=CEl*cos2(2) C’Bl=CEl*sin2(2)

  9. EB power spectra CEBl=0.5CEl*sin(4)

  10. TE and TE power spectrum CTBl=CTEl*sin(2) C’TEl=CTEl*cos(2)

  11. Constraint from current CMB data Even no clear detection, we can give the upper limitUsing Boomerane 2003 data WMAP 3-year data TB, EB and BB from Birefringence and Boomerang

  12. Likelihood function 2 fitting L=e -0.52use TB and EB only /M < 8.32*10-4 95% CL /M < 3*10-2 95%CL Carroll 1998

  13. Summary • CMB offers another opportunity to study quintessence through parity violation • Better constraint than quasar’s pol. rotation data • Similar to effect from Faraday rotation, but no freq. dependence here

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