Entropy bound of local quantum field theory with generalized uncertainty principle

Abstract

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

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Cited by in corpus (2)

• Generalized uncertainty principle and Hořava-Lifshitz gravity
• Modified clock inequalities and modified black hole lifetime