一般维数下广义不确定原理下的熵界
Entropy Bound with Generalized Uncertainty Principle in General Dimensions
摘要：
在广义不确定原理（GUP）的一类模型中，研究了局域量子场论（LQFT）的熵界。广义不确定原理（GUP）预测了作为量子引力效应反映的最小长度。研究了任意空间维$d\geq4$球${\cal B}^{d}$中的玻色子场和费米子场。结果发现，GUP导致相同的缩放$A_{d-2}^{(d-3)/(d-2)}$修正玻色子和费米子的熵界，虽然这种修正的系数是不同的每种情况下。根据我们的计算，我们得出结论，GUP效应可以变得明显的短距离尺度。我们的结果的一些进一步的影响和猜测进行了讨论。
英文摘要：
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.
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