  We discuss Hall effect and power dissipation in chiral p-wave superconductors
near Kosterlitz-Thouless transition in the absence of applied magnetic field.
In bound pair dynamics picture, nonzero Hall conductivity emerges when
vortex-antivortex bound pair polarization has a component transverse to the
direction of external perturbation. Such effect arises from the broken time
reversal symmetry nature of a chiral p-wave superconducting state and does not
require an applied magnetic field. A frequency-dependent matrix dielectric
function $\epsilon(\omega)$ is derived to describe the screening effect due to
the pair polarization. Quantities related to the Hall conductivity and power
dissipation, denoted as $\epsilon^{-1}_\perp$ and $\Im
(-\epsilon^{-1}_\parallel)$, are investigated in frequency and temperature
domain. The imaginary part of the former can show peak structure and sign
reversal as a function of frequency close to transition temperature, as well as
in the temperature domain at various fixed frequencies. The latter shows peak
structure near transition temperature. These features are attributed to
pair-size-dependent longitudinal and transverse response function of bound
pairs. Consequences due to free vortex dynamics and the resulting total
conductivity tensor $\sigma$ are also discussed.
