Non-Perturbative Aspects of Scalar Field theory

Y Meurice; S Niermann; G Ordaz

doi:10.48550/arxiv.hep-th/9609057

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Non-Perturbative Aspects of Scalar Field theory

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Non-Perturbative Aspects of Scalar Field theory

Y Meurice, S Niermann and G Ordaz

09/06/1996

DOI: 10.48550/arxiv.hep-th/9609057

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Abstract

Using the hierarchical approximation, we discuss the cut-off dependence of the renormalized quantities of a scalar field theory. The naturalness problem and questions related to triviality bounds are briefly discussed. We discuss unphysical features associated with the hierarchical approximation such as the recently observed oscillatory corrections to the scaling laws. We mention a two-parameter family of recursion formulas which allows one to continuously extrapolate between Wilson's approximate recursion formula and the recursion formula of Dyson's hierarchical model. The parameters are the dimension D and 2^zeta, the number of sites integrated in one RG transformation. We show numerically that at fixed D, the critical exponent gamma depends continuously on zeta. We suggest the requirement of zeta -independence as a guide for constructing improved recursion formulas.

Physics - High Energy Physics - Theory

Details

Title: Subtitle: Non-Perturbative Aspects of Scalar Field theory
Creators: Y Meurice - University of Iowa
S Niermann - University of Iowa
G Ordaz - University of Iowa
Resource Type: Preprint
DOI: 10.48550/arxiv.hep-th/9609057
Language: English
Date posted: 09/06/1996
Academic Unit: Physics and Astronomy
Record Identifier: 9984442207502771

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