  Recently the modified Dirac equation with Lorentz invariance violation has
been proposed, which would be helpful to resolve some issues in quantum gravity
theory and high energy physics. In this paper, the modified Dirac equation has
been generalized in curved spacetime, and then fermion tunneling of black
strings is researched under this correctional Dirac field theory. We also use
semi-classical approximation method to get correctional Hamilton-Jacobi
equation, so that the correctional Hawking temperature and correctional black
hole's entropy are derived.
