Nonrelativistic quantum electrodynamic approach to polarizabilities of light atoms

We develop a field-quantization scheme for calculating quantum electrodynamic effects on polarizabilities of light atomic systems. This scheme is based on the theory of long-wavelength quantum electrodynamics of Pachucki [Phys. Rev. A $\mathbf{\text{69}}$, 052502 (2004)], which combines the theory of nonrelativistic quantum electrodynamics with the Power-Zienau transformation. The external electromagnetic field effects, including electric and magnetic multipole polarizabilities and their relativistic and radiative corrections, are derived using this scheme. The Coulomb-transverse-photon contributions are shown to be zero due to parity symmetry.