Entropy Bound with Generalized Uncertainty Principle in General Dimensions

Abstract

In this letter, the entropy bound for local quantum field theories (LQFT) is studies in a class of models of the generalized uncertainty principle(GUP) which predicts a minimal length as a reflection of the quantum gravity effects. Both bosonic and fermionic fields confined in arbitrary spatial dimension $d\ge 4$ ball ${\mathcal{B}}^d$ are investigated. It is found that the GUP leads to the same scaling $A_{d-2}^{(d-3)/(d-2)}$ correction to the entropy bound for bosons and fermions, although the coefficients of this correction are different for each case. Based on our calculation, we conclude that the GUP effects can become manifest at the short distance scale. Some further implications and speculations of our results are also discussed.

8 pages, topos corrected and references added

References in corpus (11)

• Discreteness of Space from the Generalized Uncertainty Principle
• A proposal for testing Quantum Gravity in the lab
• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
• Minimal Length in Quantum Gravity, Equivalence Principle and Holographic Entropy Bound
• Quantum Black Hole and the Modified Uncertainty Principle
• Quantum Gravity Corrections and Entropy at the Planck time
• Effects of GUP in Quantum Cosmological Perfect Fluid Models
• Entropy bound of local quantum field theory with generalized uncertainty principle
• Effects of the Modified Uncertainty Principle on the Inflation Parameters
• Holographic entropy bound from gravitational Fock space truncation

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