TY - JOUR
T1 - Extrinsic curvature in dynamically triangulated random surface models
AU - Catterall, S. M.
PY - 1989/3/30
Y1 - 1989/3/30
N2 - The phase structure of a dynamically triangulated random surface model, the action containing extrinsic curvature, is investigated using Monte Carlo techniques. Our simulations are carried out in D=3 and compare the behaviour of the model for two different forms of the discrete curvature term. With the first, essentially (δX)2, we observe a third order transition near β≈0.7, where β is the associated coupling. The phase structure of the model with the second type, Σ(1-cosθij) proves markedly different, a strong second order phase transition is presented at finite β, leading to the possibility of a new continuum limit for the model. We discuss the implications of these results for continuum surfaces.
AB - The phase structure of a dynamically triangulated random surface model, the action containing extrinsic curvature, is investigated using Monte Carlo techniques. Our simulations are carried out in D=3 and compare the behaviour of the model for two different forms of the discrete curvature term. With the first, essentially (δX)2, we observe a third order transition near β≈0.7, where β is the associated coupling. The phase structure of the model with the second type, Σ(1-cosθij) proves markedly different, a strong second order phase transition is presented at finite β, leading to the possibility of a new continuum limit for the model. We discuss the implications of these results for continuum surfaces.
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U2 - 10.1016/0370-2693(89)90038-5
DO - 10.1016/0370-2693(89)90038-5
M3 - Article
AN - SCOPUS:0000576948
VL - 220
SP - 207
EP - 214
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1-2
ER -