6 papers
Percolation and the existence of a soft phase in the classical Heisenberg model
Adrian Patrascioiu, Erhard Seiler
We present the results of a numerical investigation of percolation properties in a version of the classical Heisenberg model. In particular we study the percolation properties of t…
Absence of Asymptotic Freedom in Non-Abelian Models
A. Patrascioiu, E. Seiler
The percolation properties of equatorial strips of the two dimensional O(3) nonlinear model are investigated numerically. Convincing evidence is found that a sufficently narrow…
Existence of Algebraic Decay in Nonabelian Ferromagnets
A. Patrascioiu
The low temperature regime of nonabelian two-dimensional ferromagnets is investigated. The method involves mapping such models into certain site-bond peroclation processes and usin…
The Difference between Abelian and Non-Abelian Models: Fact and Fancy
Adrian Patrascioiu, Erhard Seiler
The commonly accepted belief that non-Abelian and Abelian models are different because of the presence/absence of instantons and/or perturbative asymptotic freedom is analyzed from…
Critical behavior of classical spin models and local cohomology
Adrian Patrascioiu, Erhard Seiler
Using reflection positivity as the main tool, we establish a connection between the existence of a critical point in classical spin models and the triviality of a certain local coh…
The Problem of Asymptotic Freedom
A. Patrascioiu, E. Seiler
There is a growing body of evidence that the running of predicted by perturbation (PT) theory is not correctly describing the accelerator experiments at the highest energies.…