Algebraic Computation of the Hierarchical Renormalization Group Fixed Points and their ε-Expansions
K. Pinn, A. Pordt, C. Wieczerkowski
Abstract
Nontrivial fixed points of the hierarchical renormalization group are computed by numerically solving a system of quadratic equations for the coupling constants. This approach avoids a fine tuning of relevant parameters. We study the eigenvalues of the renormalization group transformation, linearized around the non-trivial fixed points. The numerical results are compared with ε-expansion.
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