  We study the entropy bound for local quantum field theory (LQFT) with
generalized uncertainty principle. The generalized uncertainty principle
provides naturally a UV cutoff to the LQFT as gravity effects.
  Imposing the non-gravitational collapse condition as the UV-IR relation, we
find that the maximal entropy of a bosonic field is limited by the entropy
bound $A^{3/4}$ rather than $A$ with $A$ the boundary area.
