A field theory based adaptive resonance neural network model, FTART2, is proposed in this paper. FTART2 combines the advantages of the adaptive resonance theory and the field theory, and achieves fast learning, strong generality and high efficiency. Moreover, FTART2 can adaptively adjust its network topology so that the disadvantage of manually configuring hidden neurons of traditional feed-forward networks is avoided. Benchmark tests show that FTART2 achieves higher accuracy and faster speed than standard BP.