Abstract
In this lecture, we will present a rigorous non-perturbative analysis of the Wilson-Kadanoff [5], [18] block spin (BS) renormalization group (RG) for the case of certain critical lattice systems of unbounded spins such as the dipole gas and the like. Our aim is to establish the asymptotic freedom (AF) of these models in the infrared, i.e. to prove that the correlations become canonical Gaussian at long distances. This problem is the first of a series to which we propose to apply the rigorous RG.
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Gawędzki, K., Kupiainen, A. (1983). Rigorous Renormalization Group and Asymptotic Freedom. In: Fröhlich, J. (eds) Scaling and Self-Similarity in Physics. Progress in Physics, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6762-6_7
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DOI: https://doi.org/10.1007/978-1-4899-6762-6_7
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