The Wegner approximation of the plane rotator model as a massless, free, lattice, Euclidean field

Bricmont, Jean;Debacker-Mathot, F.
(1977) Journal of Mathematical Physics — Vol. 18, n° 1, p. 37-40 (1977)

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  • Bricmont, JeanUCLouvain
    Author
  • Debacker-Mathot, F.
    Author
Abstract
The authors reinterpret an approximation of the plane matrix model due to Wegner (1967) as a critical Gaussian spin model or a massless free Euclidean Bose field or a lattice. This enables the computation of the two-point function in terms of differences of covariances of Euclidean fields.
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Bricmont, J., & Debacker-Mathot, F. (1977). The Wegner approximation of the plane rotator model as a massless, free, lattice, Euclidean field. Journal of Mathematical Physics, 18(1), 37-40. https://hdl.handle.net/2078.5/149215 (Original work published 1977)