The Ising Model, the Yang-Lee Edge Singularity, and 2D Quantum Gravity

Dec, 1989
6 pages
Published in:
  • Phys.Lett.B 237 (1990) 196-201
  • Published: 1990
Report number:
  • YCTP-P20-89,
  • HUTP-89-A058

Citations per year

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Abstract: (Elsevier)
We consider one-and two-matrix models recently used to define nonperturbative 2D quantum gravity. We prove the equivalence of the m = 3 multicritical one-matrix model and the Yang-Lee edge singularity coupled to 2D quantum gravity. We also derive formulae for the correlation functions for the Yang-Lee edge singularity and for the Ising model in their summed over topologies formulations.
  • quantum gravity
  • dimension: 2
  • Ising model
  • critical phenomena
  • correlation function
  • differential equations: solution
  • matrix model