Grand-canonical simulation of two-dimensional simplicial gravity

Details Grand-canonical simulation of two-dimensional simplicial gravity Grand-canonical simulation of two-dimensional simplicial gravity

1997-09-21

arxiv.org/abs/hep-lat/9709076v1

Prog.Theor.Phys. 99 (1998) 875-884

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, Latex include 5 postscript figures, using psfig.sty and cite.sty

Scientific paper

10.1143/PTP.99.875

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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