We present a model for a system involving a photon gauge field and a scalar field at quantum criticality in the frame of a Lifthitz-type non-relativistic Maxwell theory. We will show this model gives rise to Lorentz and CPT violation which leads to a frequency-dependent rotation of polarization plane of radiations, and so leaves potential signals on the cosmic microwave background temperature and polarization anisotropies.
1.Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China 2.Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China 3.Nanjing Univ, Purple Mt Observ, Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Peoples R China 4.Chinese Acad Sci, TPCSF, Beijing 100049, Peoples R China
