Abstract
We study the occurrence of critical phenomena in black holes, derive the critical exponents and show that they fulfill the scaling laws. Correlation functions critical exponents and Renormalization Group considerations assign an effective dimension, d = 2, to the system. The two-dimensional Gaussian approximation to critical systems is shown to reproduce all the black hole’s critical exponents. Higher order corrections (which are always relevant) are discussed. Identifying the two-dimensional surface with the event horizon and noting that generalization of scaling leads to conformal invariance and then to string theory, we arrive to ‘t Hooft’s string interpretation of black holes.
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