The parton shower evolution law in the hot and dense matter is studied by using the spectrum of parton radiative energy loss. At the same energy, the numerical results indicate that the splitting probability of parton, in the medium, is large than those in the vacuum. And when the density of medium is higher, the splitting probability of parton is larger. This result is in agreement with the suppression of leading particles production in BNL/RHIC, it indicates that the ho...
