Decimation in more then one dimension
نویسندگان
چکیده
We develop a formalism for performing real space renormalization group transformations of the " decimation type " using perturbation theory. The type of transformations beyond d = 1 is nontrivial even for free theories. We check the formalism on solvable case of O(N) symmetric Heisenberg chain. The transformation is particularly useful to study asymptotically free theories. Results for one class of such models, the d=2 O(N) symmetric σ models (N ≥ 3) for decimation with scale factor η = 2 (when quarter of the points is left) are given as an example.
منابع مشابه
Renormalization Group transformations of the decimation type in more than one dimension
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