On gonihedric loops and quantum gravity
arXiv:cond-mat/0511122 · doi:10.1088/0305-4470/39/7/017
Abstract
We present an analysis of the gonihedric loop model, a reformulation of the two dimensional gonihedric spin model, using two different techniques. First, the usual regular lattice statistical physics problem is mapped onto a height model and studied analytically. Second, the gravitational version of this loop model is studied via matrix models techniques. Both methods lead to the conclusion that the model has for all values of the parameters of the model. In this way it is possible to understand the absence of a continuous transition.
References in corpus (23)
- Renormalization Group Approach to Matrix Models
- Logarithmically slow domain growth in nonrandomly frustrated systems: Ising models with competing interactions
- Operator Spectrum and Exact Exponents of the Fully Packed Loop Model
- Geometrical String and Spin Systems
- Gonihedric String and Asymptotic Freedom
- Self-Avoiding Gonihedric Srting and Spin Systems
- String fine tuning
- GEOMETRICAL STRING and DUAL SPIN SYSTEMS
- Evidence for a first order transition in a plaquette 3d Ising-like action
- Nonlinear Renormalization Group Equation for Matrix Models
- Hermitian Matrix Model with Plaquette Interaction
- An Iterative Solution of the Three-colour Problem on a Random Lattice
- Renormalization group approach to multiple-arc random matrix models
- Slow dynamics in the 3--D gonihedric model
- Geometrically constrained statistical systems on regular and random lattices: From folding to meanders
- String tension in gonihedric 3D Ising models
- Exact Solution of the Three-color Problem on a Random Lattice
- Dynamics of the two-dimensional gonihedric spin model
- Four-dimensional gonihedric gauge spin system
- Exact Beta Functions in the Vector Model and Renormalization Group Approach
- Two-loop world-sheet effective action
- The asymmetric ABAB matrix model
- The system with exponentially degenerate vacuum state