Asymptotic Gauge Symmetry in Rindler Coordinates with Canonical Quantized U(1) Gauge Field
In the former part of this study, the canonical quantization of U(1) gauge field is performed in the Rindler system, in the Lorentz covariant gauge. This has not been performed yet, while that of scalar and spinor fields have been done. Then, using that result, the Unruh temperature of the U(1) gauge field is analyzed. In the later part of this study, that the acceleration becomes zero on the Killing horizon in the Rindler coordinates is pointed out. Then based on this, it is shown that the infinite symmetries, analogous to the asymptotic gauge symmetry in the infinite null region of the flat spacetime, exist on the Killing horizon in the Rindler system, and a Ward identity of those and the scattering amplitude including soft photons are equivalent to each other. These infinite gauge symmetries in the Rindler system have not been known yet, and are interesting as new asymptotic symmetry and in terms of the holographic dual CFT.