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arXiv · hep-lat/9709076

Grand-canonical simulation of two-dimensional simplicial gravity

S. Oda·N. Tsuda·T. Yukawa
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Abstract

The string susceptibility exponents of dynamically triangulated 2-dimensional surfaces with various topologies, such as a sphere, torus and double-torus, were calculated by the grand-canonical Monte Carlo method. These simulations were made for surfaces coupled to $d$-Ising spins ($d$=0,1,2,3,5). In each simulation the area of surface was constrained to within 1000 to 3000 of triangles, while maintaining the detailed-balance condition. The numerical results show excellent agreement with theoretical predictions as long as $d \leq 2$.

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S. Oda, N. Tsuda, T. Yukawa. 1997-09-21. Grand-canonical simulation of two-dimensional simplicial gravity. https://doi.org/10.1143/ptp.99.875

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