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most citedSuper-Instantons and the Reliability of Perturbation Theory in Non-Abelian Models

47 citations · 254 across the 21 of their papers we have counts for

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7 papers · 1 filter

hep-th2000★ 1 cited

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…

hep-lat2000

Nontrivial fixed point in nonabelian models

Adrian Patrascioiu, Erhard Seiler

We investigate the percolation properties of equatorial strips in the two-dimensional O(3) nonlinear model. We find convincing evidence that such strips do not percolate at low…

hep-lat2000★ 1 cited

Lattice artefacts and the running of the coupling constant

Adrian Patrascioiu, Erhard Seiler

We study the running of the Lüscher-Weisz-Wolff (LWW) coupling constant in the two dimensional O(3) nonlinear model. To investigate the continuum limit we refine the lattice sp…

hep-th2000★ 4 cited

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…

hep-lat2000★ 7 cited

Quasi-asymptotic freedom in the two dimensional O(3) model

Adrian Patrascioiu

The behaviour of the renormalized spin 2-point function in the O(3) and dodecahedron spin model are investigated numerically. The Monte Carlo data show excellent agreement between…

math-ph2000★ 5 cited

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…

hep-th2000★ 19 cited

The Intrinsic Coupling in Integrable Quantum Field Theories

J. Balog, M. Niedermaier, F. Niedermayer +3

The intrinsic 4-point coupling, defined in terms of a truncated 4-point function at zero momentum, provides a well-established measure for the interaction strength of a QFT. We sho…