6 citations · 10 across the 3 of their papers we have counts for
5 papers · 1 filter
Non-amenability and spontaneous symmetry breaking -- The hyperbolic spin-chain
Max Niedermaier, Erhard Seiler
The hyperbolic spin chain is used to elucidate the notion of spontaneous symmetry breaking for a non-amenable internal symmetry group, here SO(1,2). The noncompact symmetry is show…
The case against asymptotic freedom
Erhard Seiler
In this talk I give an overview of the work done during the last 15 years in collaboration with the late Adrian Patrascioiu. In this work we accumulated evidence against the common…
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…
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…