THE THEORY OF DYNAMIC RANDOM SURFACES WITH EXTRINSIC CURVATURE
AMBJORN, J
IRBACK, A
JURKIEWICZ, J
Petersson, Bengt
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 nu 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.
ELSEVIER SCIENCE BV
1993
info:eu-repo/semantics/article
doc-type:article
text
https://pub.uni-bielefeld.de/record/1646192
AMBJORN J, IRBACK A, JURKIEWICZ J, Petersson B. THE THEORY OF DYNAMIC RANDOM SURFACES WITH EXTRINSIC CURVATURE. <em>NUCLEAR PHYSICS B</em>. 1993;393(3):571-600.
eng
info:eu-repo/semantics/altIdentifier/doi/10.1016/0550-3213(93)90074-Y
info:eu-repo/semantics/altIdentifier/issn/0550-3213
info:eu-repo/semantics/altIdentifier/wos/A1993KW75900007
info:eu-repo/semantics/altIdentifier/arxiv/hep-lat/9207008
info:eu-repo/semantics/closedAccess