On the entropy of random surfaces

A. B. Zamolodchikov

doi:10.1016/0370-2693(82)90879-6

On the entropy of random surfaces

A. B. Zamolodchikov

Institute for Theoretical Physics

Research output: Contribution to journal › Article › peer-review

94 Scopus citations

Abstract

We discuss the entropy of random surfaces σ(A) which is the log of the number of surfaces of fixed area A. We demonstrate how this quantity for closed surfaces can be calculated using Polyakov's continual integral over on-surface internal metrics. It is shown that for the case of spherical topology and for fixed area this integral possesses a saddle point corresponding to the metric of S².

Original language	English
Pages (from-to)	87-90
Number of pages	4
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	117
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(82)90879-6
State	Published - Nov 4 1982

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title = "On the entropy of random surfaces",

abstract = "We discuss the entropy of random surfaces σ(A) which is the log of the number of surfaces of fixed area A. We demonstrate how this quantity for closed surfaces can be calculated using Polyakov's continual integral over on-surface internal metrics. It is shown that for the case of spherical topology and for fixed area this integral possesses a saddle point corresponding to the metric of S2.",

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AB - We discuss the entropy of random surfaces σ(A) which is the log of the number of surfaces of fixed area A. We demonstrate how this quantity for closed surfaces can be calculated using Polyakov's continual integral over on-surface internal metrics. It is shown that for the case of spherical topology and for fixed area this integral possesses a saddle point corresponding to the metric of S2.

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U2 - 10.1016/0370-2693(82)90879-6

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SN - 0370-2693

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

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On the entropy of random surfaces

Abstract

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