Logarithmic correction to the Bekenstein-Hawking entropy

The Institute of Mathematical Sciences, Chennai 600 113, India.
Physical Review Letters (Impact Factor: 7.73). 03/2000; DOI: 10.1103/PhysRevLett.84.5255
Source: arXiv

ABSTRACT The exact formula derived by us earlier for the entropy of a four dimensional non-rotating black hole within the quantum geometry formulation of the event horizon in terms of boundary states of a three dimensional Chern-Simons theory, is reexamined for large horizon areas. In addition to the {\it semiclassical} Bekenstein-Hawking contribution to the area obtained earlier, we find a contribution proportional to the logarithm of the area together with subleading corrections that constitute a series in inverse powers of the area.

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