Title

The Ising Model on a Dynamically Triangulated Disk with a Boundary Magnetic Field

Author(s)/Creator(s)

Simon Catterall, Syracuse UniversityFollow
Scott V. McGuire, Syracuse University
Mark Bowick, Syracuse UniversityFollow
Simeon Warner, LANL

Document Type

Article

Date

5-2-2001

Language

English

Disciplines

Physics

Description/Abstract

We use Monte Carlo simulations to study a dynamically triangulated disk with Ising spins on the vertices and a boundary magnetic field. For the case of zero magnetic field we show that the model possesses three phases. For one of these the boundary length grows linearly with disk area, while the other two phases are characterized by a boundary whose size is on the order of the cut-off. A line of continuous magnetic transitions separates the two small boundary phases. We determine the critical exponents of the continuous magnetic phase transition and relate them to predictions from continuum 2-d quantum gravity. This line of continuous transitions appears to terminate on a line of discontinuous phase transitions dividing the small boundary phases from the large boundary phase. We examine the scaling of bulk magnetization and boundary magnetization as a function of boundary magnetic field in the vicinity of this tricritical point.

Additional Information

32 pages, latex More information at http://arxiv.org/abs/hep-lat/0105002

Recommended Citation

Catterall, Simon; McGuire, Scott V.; Bowick, Mark; and Warner, Simeon, "The Ising Model on a Dynamically Triangulated Disk with a Boundary Magnetic Field" (2001). Physics - All Scholarship. 469.
https://surface.syr.edu/phy/469

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.