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The theory of dynamical random surfaces with extrinsic curvature

We analyze numerically the critical properties of a two-dimensional discretized random surface with extrinsic curvature embedded in a three-dimensional space. The use of the toroidal topology enables us to enforce the non-zero external extension without the necessity of defining a boundary and allow...

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Detalles Bibliográficos
Autores principales: Ambjorn, Jan, Irback, A., Jurkiewicz, J., Petersson, B.
Lenguaje:eng
Publicado: 1993
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(93)90074-Y
http://cds.cern.ch/record/239622
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author Ambjorn, Jan
Irback, A.
Jurkiewicz, J.
Petersson, B.
author_facet Ambjorn, Jan
Irback, A.
Jurkiewicz, J.
Petersson, B.
author_sort Ambjorn, Jan
collection CERN
description We analyze numerically the critical properties of a two-dimensional discretized random surface with extrinsic curvature embedded in a three-dimensional space. The use of the toroidal topology enables us to enforce the non-zero external extension without the necessity of defining a boundary and allows us to measure directly the string tension. We show that a phase transition from the crumpled phase to the smooth phase observed earlier for a spherical topology appears also for a toroidal surface for the same finite value of the coupling constant of the extrinsic curvature term. The phase transition is characterized by the vanishing of the string tension. We discuss the possible non-trivial continuum limit of the theory, when approaching the critical point. Numerically we find a value of the critical exponent $\n$ to be between .38 and .42. The specific heat, related to the extrinsic curvature term seems not to diverge (or diverge slower than logarithmically) at the critical point.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1993
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spelling cern-2396222023-10-04T06:50:15Zdoi:10.1016/0550-3213(93)90074-Yhttp://cds.cern.ch/record/239622engAmbjorn, JanIrback, A.Jurkiewicz, J.Petersson, B.The theory of dynamical random surfaces with extrinsic curvatureGeneral Theoretical PhysicsWe analyze numerically the critical properties of a two-dimensional discretized random surface with extrinsic curvature embedded in a three-dimensional space. The use of the toroidal topology enables us to enforce the non-zero external extension without the necessity of defining a boundary and allows us to measure directly the string tension. We show that a phase transition from the crumpled phase to the smooth phase observed earlier for a spherical topology appears also for a toroidal surface for the same finite value of the coupling constant of the extrinsic curvature term. The phase transition is characterized by the vanishing of the string tension. We discuss the possible non-trivial continuum limit of the theory, when approaching the critical point. Numerically we find a value of the critical exponent $\n$ to be between .38 and .42. The specific heat, related to the extrinsic curvature term seems not to diverge (or diverge slower than logarithmically) at the critical point.We analyze numerically the critical properties of a two-dimensional discretized random surface with extrinsic curvature embedded in a three-dimensional space. The use of the toroidal topology enables us to enforce the non-zero external extension without the necessity of defining a boundary and allows us to measure directly the string tension. We show that a phase transition from the crumpled phase to the smooth phase observed earlier for a spherical topology appears also for a toroidal surface for the same finite value of the coupling constant of the extrinsic curvature term. The phase transition is characterized by the vanishing of the string tension. We discuss the possible non-trivial continuum limit of the theory, when approaching the critical point. Numerically we find a value of the critical exponent $\n$ to be between .38 and .42. The specific heat, related to the extrinsic curvature term seems not to diverge (or diverge slower than logarithmically) at the critical point.We analyze numerically the critical properties of a two-dimensional discretized random surface with extrinsic curvature embedded in a three-dimensional space. The use of the toroidal topology enables us to enforce the non-zero external extension without the necessity of defining a boundary and allows us to measure directly the string tension. We show that a phase transition from the crumpled phase to the smooth phase observed earlier for a spherical topology appears also for a toroidal surface for the same finite value of the coupling constant of the extrinsic curvature term. The phase transition is characterized by the vanishing of the string tension. We discuss the possible non-trivial continuum limit of the theory, when approaching the critical point. Numerically we find a value of the critical exponent $\n$ to be between .38 and .42. The specific heat, related to the extrinsic curvature term seems not to diverge (or diverge slower than logarithmically) at the critical point.We analyze numerically the critical properties of a two-dimensional discretized random surface with extrinsic curvature embedded in a three-dimensional space. The use of the toroidal topology enables us to enforce the non-zero external extension without the necessity of defining a boundary and allows us to measure directly the string tension. We show that a phase transition from the crumpled phase to the smooth phase observed earlier for a spherical topology appears also for a toroidal surface for the same finite value of the coupling constant of the extrinsic curvature term. The phase transition is characterized by the vanishing of the string tension. We discuss the possible non-trivial continuum limit of the theory, when approaching the critical point. Numerically we find a value of the critical exponent $\n$ to be between .38 and .42. The specific heat, related to the extrinsic curvature term seems not to diverge (or diverge slower than logarithmically) at the critical point.We analyse numerically the critical properties of a two-dimensional discretized random surface with extrinsic curvature embedded in a three-dimensional space. The use of the toroidal topology enables us to enforce the non-zero external extension without the necessity of defining a boundary and allows us to measure directly the string tension. We show that a phase transition from the crumpled phase to the smooth phase observed earlier for a spherical topology appears also for a toroidal surface for the same finite value of the coupling constant of the extrinsic curvature term. The phase transition is characterized by the vanishing of the string tension. We discuss the possible non-trivial continuum limit of the theory, when approaching the critical point. Numerically we find a value of the critical exponent ν to be between 0.38 and 0.42. The specific heat, related to the extrinsic curvature term seems not to diverge (or diverge slower than logarithmically) at the critical point.hep-lat/9207008NBI-HE-92-40NBI-HE-92-40oai:cds.cern.ch:2396221993
spellingShingle General Theoretical Physics
Ambjorn, Jan
Irback, A.
Jurkiewicz, J.
Petersson, B.
The theory of dynamical random surfaces with extrinsic curvature
title The theory of dynamical random surfaces with extrinsic curvature
title_full The theory of dynamical random surfaces with extrinsic curvature
title_fullStr The theory of dynamical random surfaces with extrinsic curvature
title_full_unstemmed The theory of dynamical random surfaces with extrinsic curvature
title_short The theory of dynamical random surfaces with extrinsic curvature
title_sort theory of dynamical random surfaces with extrinsic curvature
topic General Theoretical Physics
url https://dx.doi.org/10.1016/0550-3213(93)90074-Y
http://cds.cern.ch/record/239622
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