Non-Critical Bosonic String Corrections to the Black Hole Entropy

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.

8 pages, latex, no figures

Cited by in corpus (2)

• Finite Temperature Effects for Massive Fields in D-dimensional Rindler-like Spaces
• One-loop Quantum Corrections to the Entropy for an Extremal Reissner-Nordström Black Hole