Universality, Scaling and Triviality in a Hierarchical Field Theory

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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LATTICE98(spin)

Scientific paper

10.1016/S0920-5632(99)85196-2

Using polynomial truncations of the Fourier transform of the RG transformation of Dyson's hierarchical model, we show that it is possible to calculate very accurately the renormalized quantities in the symmetric phase. Numerical results regarding the corrections to the scaling laws, (i.e finite cut-off dependence) triviality, hyperscaling, universality and high-accuracy determinations of the critical exponents are discussed.

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