On the entropy of random surfaces with arbitrary genus

We calculate the susceptibility critical exponent γ for Polyakov random surfaces with arbitrary genus, using the Liouville theory to one-loop order. Some rigorous results obtained for special dimensionalities in a discrete version of the model are also noted. In all cases γ grows linearly with the g...

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Bibliographic Details
Published in:Physics letters. B 1987-03, Vol.187 (1), p.149-152
Main Authors: Kostov, I.K., Krzywicki, A.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Theory of quantized fields
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Summary:We calculate the susceptibility critical exponent γ for Polyakov random surfaces with arbitrary genus, using the Liouville theory to one-loop order. Some rigorous results obtained for special dimensionalities in a discrete version of the model are also noted. In all cases γ grows linearly with the genus of the surface.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(87)90088-8