Entropy bound of local quantum field theory with generalized uncertainty principle

Understand

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.