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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.
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