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arXiv · hep-th/9411024

Non-Critical Bosonic String Corrections to the Black Hole Entropy

E. Elizalde·S. D. Odintsov
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Abstract

We calculate the quantum corrections to the entropy of a very large black hole, coming from the theory of a $D$-dimensional, non-critical bosonic string. We show that, for $D >2$, as a result of modular invariance the entropy is ultraviolet finite, although it diverges in the infrared (while for $D=2$ the entropy contains both ultraviolet and infrared divergences). The issue of modular invariance in field theory, in connection with black-hole entropy, is also investigated.

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E. Elizalde, S. D. Odintsov. 1994-11-03. Non-Critical Bosonic String Corrections to the Black Hole Entropy. https://doi.org/10.1142/s0217732395001307

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