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- W2139245714 abstract "Using recently developed methods, we perform high-accuracy calculations of the susceptibility near ${ensuremath{beta}}_{c}$ for the $D=3$ version of Dyson's hierarchical model. Using linear fits, we estimate the leading (ensuremath{gamma}) and subleading (ensuremath{Delta}) exponents. Independent estimates are obtained by calculating the first two eigenvalues of the linearized renormalization group transformation. We found $ensuremath{gamma}=1.29914073ifmmodepmelsetextpmfi{}{10}^{ensuremath{-}8}$ and $ensuremath{Delta}=0.4259469ifmmodepmelsetextpmfi{}{10}^{ensuremath{-}7}$ independently of the choice of local integration measure (Ising or Landau-Ginzburg). After a suitable rescaling, the approximate fixed points for a large class of local measure coincide accurately with a fixed point constructed by Koch and Wittwer." @default.
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- W2139245714 date "1998-06-01" @default.
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- W2139245714 title "Accurate checks of universality for Dyson’s hierarchical model" @default.
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- W2139245714 doi "https://doi.org/10.1103/physrevd.57.r6581" @default.
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