Work

Phase structure of dynamical triangulation models in three dimensions

Year: 1998

Type: article

Abstract: The dynamical triangulation model of three-dimensional quantum gravity is shown to have a line of transitions in an expanded phase diagram which includes a coupling μ to the order of the vertices. Monte Carlo renormalization group and finite size scaling techniques are used to locate and characterize this line. Our results indicate that for μ < μ1 ∼ −1.0 the model is always in a crumpled phase independent of the value of the curvature coupling. For μ < 0 the results are in agreement with an approximate mean field treatment. We find evidence that this line corresponds to first-order transitions extending to positive μ. However, the behavior appears to change for μ > μ2 ∼ 2.0−4.0. The simplest scenario that is consistent with the data is the existence of a critical end point.

Source: Nuclear Physics B

DOI: 10.1016/s0550-3213(98)00142-4

Authors: Ray L. Renken, Simon M. Catterall, John B. Kogut

Institutions: University of Central Florida, Syracuse University, University of Illinois Urbana-Champaign

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid:

Funders: National Science Foundation, U.S. Department of Energy