Pion decay constant and the rho-meson mass at finite temperature in hidden local symmetry

We study the temperature dependence of the pion decay constant and p-meson mass in the hidden local symmetry model at one loop. Using the standard imaginary time formalism, we include the thermal effect of the rho meson as well as that of the pion. We show that the pion gives a dominant contribution to the pion decay constant and the rho-meson contribution slightly decreases the critical temperature. The rho-meson pole mass increases as T-4/m(rho)(2) at low temperature, dominated by the pion-loop effect. At high temperature, although the pion-loop effect decreases the rho-meson mass, the rho-loop contribution overcomes the pion-loop contribution and the rho-meson mass increases with temperature. We also show that the conventional parameter a is stable as the temperature increases.