Entropy bound of local quantum field theory with generalized uncertainty principle
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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.
11 pages, 1figure, version to appear in PLB
11 pages, 1figure, version to appear in PLB