Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-11-03
Mod.Phys.Lett.A10:1187-1194,1995
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, latex, no figures
Scientific paper
10.1142/S0217732395001307
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.
Elizalde Emilio
Odintsov Sergei D.
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