1202.4922 (Weijian Wang et al.)

Entropy Bound with Generalized Uncertainty Principle in General
Dimensions    [PDF]

Weijian Wang, Da Huang

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
$d\geq4$ ball ${\cal B}^{d}$ 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.

View original: http://arxiv.org/abs/1202.4922