High-order corrections to the holographic entropy bound from quantum   field theory
  From the viewpoint of local quantum field theory, this letter investigates the high-order corrections to the holographic entropy bound. As a result, the logarithmic correction term appears naturally with the definite coefficient $-{1/2}$, which thus provides another semi-classical platform to examine such candidates for quantum gravity as Loop Quantum Gravity and String Theory. 
Yi Ling and Hongbao Zhang