Entropy bound of local quantum field theory with generalized uncertainty   principle
  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. 
Yong-Wan Kim, Hyung Won Lee, Yun Soo Myung