Vacuum fluctuation effects on the ρ-meson mass and the one-ρ exchange potential at finite temperature and density

Based on thermofield dynamics, the temperature- and density-dependent effective mass and screening mass of \ensuremath{\rho} meson have been calculated. The effects of vacuum fluctuation corrections through effective nucleon mass are examined. We have shown that vacuum fluctuations give an important correction to the self-energy of the \ensuremath{\rho} meson and lead to a reduction of the \ensuremath{\rho}-meson mass in hot and dense matter. The temperature and density dependence of one-\ensuremath{\rho}-meson exchange potential with vacuum fluctuation correction is also given.

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