Axion electrodynamics: Green’s functions, zero-point energy and optical activity

Starting from the theory of Axion Electrodynamics, we work out axionic modifications to electromagnetic Casimir energy using Green's function, both when axion field is initially assumed purely time-dependent and configuration a static domain wall. For first case it means that oscillating background taken resemble an fluid at rest in conventional setup with two infinite parallel conducting plates, while second evaluate radiation pressure acting on We extend previous theories order include finite temperatures. Various applications are discussed. 1. review Electrodynamics particularly energy-momentum conservation linear dielectric magnetic material. treat this last aspect by extending former results Brevik Chaichian (2022) Patkos (2022). 2. Adopting model discuss axion-induced force between plates function approach. 3. calculate wall temperature T. Our for also useful condensed matter physics, where "axionic topological insulators" interact Chern-Simons interaction, like one there experimental systems analogous fields walls as ones showed Jiang, Q. D., \& Wilczek, F. (2019) Fukushima et al. (2019). 4. compare our results, assume or space-dependent configurations, discussion optical activity Sikivie (2021) Carrol (1990).