  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.
