Entropy bound of local quantum field theory with generalized uncertainty principle

TL;DR

This paper investigates how the generalized uncertainty principle, acting as a natural UV cutoff, influences the entropy bounds of local quantum field theories, revealing a maximal entropy scaling as $A^{3/4}$ instead of the area $A$.

Contribution

It introduces a new entropy bound for LQFT incorporating the generalized uncertainty principle, differing from traditional area laws.

Findings

Maximal entropy scales as $A^{3/4}$, not $A$.

Generalized uncertainty principle provides a natural UV cutoff.

Entropy bound is derived under non-gravitational collapse conditions.

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.