Borel-Pad\'e re-summation of the β-functions describing Anderson localisation in the Wigner-Dyson symmetry classes
Abstract
We describe a Borel-Pad\'e re-summation of the β-function in the three Wigner-Dyson symmetry classes. Using this approximate β-function we discuss the dimensional dependence of the critical exponent and compare with numerical estimates. We also estimate the lower critical dimension of the symplectic symmetry class.
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