Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1992-07-08
Nucl.Phys. B393 (1993) 571-600
Physics
High Energy Physics
High Energy Physics - Lattice
figures available as postscript files on request. 28 pages plus figures
Scientific paper
10.1016/0550-3213(93)90074-Y
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.
A.
Ambjorn Jan
Irback
Jurkiewicz Jerzy
Petersson Bengt
No associations
LandOfFree
The Theory of Dynamical Random Surfaces with Extrinsic Curvature does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Theory of Dynamical Random Surfaces with Extrinsic Curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Theory of Dynamical Random Surfaces with Extrinsic Curvature will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-295802