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Universality, scaling and triviality in a hierarchical scalar field theory
Journal article

Universality, scaling and triviality in a hierarchical scalar field theory

J.J Godina, Y Meurice, S Niermann and M.B Oktay
Nuclear physics. Section B, Proceedings supplement, Vol.73(1), pp.763-765
1999
DOI: 10.1016/S0920-5632(99)85196-2
url
https://arxiv.org/pdf/hep-lat/9809060View
Open Access

Abstract

Using polynomial truncations of the Fourier transform of the RG transformation of Dyson's hierarhical 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, triviality, hyperscaling, universality and high-accuracy determinations of the critical exponents are discussed.

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