Testing perturbative results with non-perturbative methods for the Hierarchical model

Y Meurice; M. B Oktay

doi:10.1142/S0217751X01009454

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Testing perturbative results with non-perturbative methods for the Hierarchical model

Journal article

Open access

Peer reviewed

Testing perturbative results with non-perturbative methods for the Hierarchical model

Y Meurice and M. B Oktay

International journal of modern physics. A, Particles and fields, gravitation, cosmology, Vol.16(supp01c), pp.1251-1253

09/2001

DOI: 10.1142/S0217751X01009454

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https://arxiv.org/pdf/hep-lat/0011023View

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Abstract

We present non-perturbative methods to calculate accurately the renormalized quantities for Dyson's Hierarchical Model. We apply this method and calculate the critical exponent gamma with 12 and 4 significant digits in the high and low temperature phases, respectively. We report accurate values for universal ratios of amplitudes and preliminary results concerning the comparison with perturbative results.

Physics - High Energy Physics - Lattice

Details

Title: Subtitle: Testing perturbative results with non-perturbative methods for the Hierarchical model
Creators: Y Meurice - University of Iowa
M. B Oktay - The University of Iowa
Resource Type: Journal article
Publication Details: International journal of modern physics. A, Particles and fields, gravitation, cosmology, Vol.16(supp01c), pp.1251-1253
DOI: 10.1142/S0217751X01009454
ISSN: 0217-751X
eISSN: 1793-656X
Language: English
Date published: 09/2001
Academic Unit: Physics and Astronomy
Record Identifier: 9984428811602771

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