Effect on cosmic microwave background polarization of coupling of quintessence to pseudoscalar formed from the electromagnetic field and its dual

Abstract

We present the full set of power spectra of cosmic microwave background (CMB) temperature and polarization anisotropies due to the coupling between quintessence and pseudoscalar of electromagnetism. This coupling induces the rotation of the polarization plane of CMB photons, thus resulting in non-vanishing B mode and parity-violating TB and EB modes. Using the 2003 flight of BOOMERANG (B03) data, we give the most stringent constraint on the coupling strength. In some cases, the rotation-induced B mode can confuse the hunting for the gravitational lensing induced B mode.