The anomalous transport of the magnetic confinement plasma has been a long-standing problem for understanding the operation performance of the magnetic confinement fusion reactor, despite many theoretical advances such as the neoclassical theory. In the work, two key physical ideas were revealed for the quasi-neutral plasma under the magnetic fields. One is that the conventional Lorentz forces for the ions and electrons should emerge as the magnetic moment force. The second one is that the free electrons should be referred to as the semi-free electrons, because the electron positions may be represented by the nearest-ion positions in the framework of calculus. Therefore, a simply analytical model was put forward and it can successfully explain the particle diffusion constants, thermal diffusivities, the edge transport barrier and the internal transport barrier of the tokamak plasma. The revealed physical ideas and constructed model may be essential for interpreting the anomalous transport behaviors of the tokamak plasma and improving the operation performance of the fusion reactor.