Multicanonical simulation of 3D dynamical triangulation model and a new phase structure
arXiv:hep-lat/9802021 · doi:10.1016/S0550-3213(98)00482-9
Abstract
We apply the multicanonical technique to the three dimensional dynamical triangulation model, which is known to exhibit a first order phase transition with the Einstein-Hilbert action. We first clarify the first order nature of the phase transition with the Einstein-Hilbert action in several ways including a high precision finite size scaling analysis. We then add a new local term to the action and confirm the conjecture made through the MCRG technique that the line of the first order phase transition extends to the expanded phase diagram, ending at a point. Fractal dimension at the end point is measured to be around three up to the present size.
20 pages, latex2e(graphic package), 9 figures
References in corpus (6)
- Algorithmic aspects of multicanonical simulations
- 4d Simplicial Quantum Gravity Interacting with Gauge Matter Fields
- Singular Structure in 4D Simplicial Gravity
- Singular Vertices in the Strong Coupling Phase of Four-Dimensional Simplicial Gravity
- Phase Structure of Dynamical Triangulation Models in Three Dimensions
- A new phase structure in three-dimensional dynamical triangulation model