1997/09/21 by S. Oda, N. Tsuda, T. Yukawa
Physics and Astronomy · #Monte Carlo method #Noncommutative and Quantum Gravity Theories #Quantum many-body systems #Spins #String (physics) #Surface (topology) #Theoretical and Computational Physics #Torus #hep-lat
paper · pdf · doi:10.1143/ptp.99.875
published as Prog.Theor.Phys. 99 (1998) 875-884 · 9 pages, Latex include 5 postscript figures, using psfig.sty and cite.sty
arxiv created 1997/09/21 · openalex publication_date 1998/05/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 ≤ 2.