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Absence of the Kosterlitz-Thouless Fixed Points in the Migdal-Kadanoff Recursion Formulas
Phys. Rev. Lett. 54, 2383 – Published 3 June, 1985
DOI: https://doi.org/10.1103/PhysRevLett.54.2383
Abstract
It is shown that the Migdal approximate-renormalization recursion formulas always bring the initial state into the high-temperature region for the U(1)-invariant models at the critical dimensions. This means that the Migdal recursion formulas fail to exhibit the Kosterlitz-Thouless transitions. This is also the case for the recursion formulas of Kadanoff type. The method developed here is extended to non-Abelian systems by some additional tricks.
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