TY - JOUR

T1 - Minimal dynamical triangulations of random surfaces

AU - Bowick, Mark J.

AU - Catterall, Simon M.

AU - Thorleifsson, Gudmar

N1 - Funding Information:
We would like to thank Konstantinos Anagnos-topoulos and David Nelson for stimulating discussions. This work was supported in part by the Department of Energy U.S.A under contract No. DE-FG02435ER40237 and from researchf unds provided by Syracuse University. Some computations were performed using facilities at the Northeast Parallel Architectures Center (NPAC) .

PY - 1997/1/16

Y1 - 1997/1/16

N2 - We introduce and investigate numerically a minimal class of dynamical triangulations of two-dimensional gravity on the sphere in which only vertices of order five, six or seven are permitted. We show firstly that this restriction of the local coordination number, or equivalently intrinsic scalar curvature, leaves intact the fractal structure characteristic of generic dynamically triangulated random surfaces. Furthermore the Ising model coupled to minimal two-dimensional gravity still possesses a continuous phase transition. The critical exponents of this transition correspond to the usual KPZ exponents associated with coupling a central charge c = 1/2 model to two-dimensional gravity.

AB - We introduce and investigate numerically a minimal class of dynamical triangulations of two-dimensional gravity on the sphere in which only vertices of order five, six or seven are permitted. We show firstly that this restriction of the local coordination number, or equivalently intrinsic scalar curvature, leaves intact the fractal structure characteristic of generic dynamically triangulated random surfaces. Furthermore the Ising model coupled to minimal two-dimensional gravity still possesses a continuous phase transition. The critical exponents of this transition correspond to the usual KPZ exponents associated with coupling a central charge c = 1/2 model to two-dimensional gravity.

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U2 - 10.1016/S0370-2693(96)01459-1

DO - 10.1016/S0370-2693(96)01459-1

M3 - Article

AN - SCOPUS:0042595645

SN - 0370-2693

VL - 391

SP - 305

EP - 309

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 - 3-4

ER -