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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• Entropy of black holes in the deformed Hořava-Lifshitz gravity
• Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy
• Generalized uncertainty principle and Hořava-Lifshitz gravity
• Electroweak Theory with a Minimal Length
• Chiral gravitational waves from z=2 Hořava-Lifshitz gravity
• Quantum theory of the Generalised Uncertainty Principle
• Generalized uncertainty principle, quantum gravity and Hořava-Lifshitz gravity
• Entropy In The Present And Early Universe: New Small Parameters And Dark Energy Problem
• Does entropic force always imply the Newtonian force law?
• Modified clock inequalities and modified black hole lifetime
• Violation of the Holographic Principle in the Loop Quantum Gravity
• Quantum Theory at Planck Scale, Limiting Values, Deformed Gravity and Dark Energy Problem
• Entropy Bound with Generalized Uncertainty Principle in General Dimensions
• Planck's Radiation Law in the Quantized Universe