Algebraic Computation of the Hierarchical Renormalization Group Fixed Points and their $ε$-Expansions

Details Algebraic Computation of the Hierarchical Renormalization Group Fixed Points and their $ε$-Expansions Algebraic Computation of the Hierarchical Renormalization Group Fixed Points and their $ε$-Expansions

1994-02-28

arxiv.org/abs/hep-lat/9402020v1

J.Statist.Phys. 77 (1994) 977

Physics

High Energy Physics

High Energy Physics - Lattice

LaTex file, 24 pages, 5 figures appended as 1 PostScript file, preprint MS-TPI-94-2

Scientific paper

10.1007/BF02183147

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 $\epsilon$-expansion.

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