IS d equals 2 A MARGINAL DIMENSION FOR LOCALIZATION?

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Date
1984-12-01
Authors
Srivastava, Vipin
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Abstract
The renormalized perturbation series (RPS) for self energy is transformed into a simple continued fraction using a rearrangement procedure that dumps into the denominators of the continued fraction all the contributions from closed polygonal paths. Convergence of RPS implies the convergence of the continued fraction. This is used to prove that d equals 2 is not the lower marginal dimension for localization.
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https://link.aps.org/doi/10.1103/PhysRevB.30.2236
 https://dspace.uohyd.ac.in/handle/1/2368
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Cognitive Sciences - Publications