The β-function of the Wess-Zumino model at O(1/N<SUP>2</SUP>)



Ferreira, PM and Gracey, JA ORCID: 0000-0002-9101-2853
(1998) The β-function of the Wess-Zumino model at O(1/N<SUP>2</SUP>). NUCLEAR PHYSICS B, 525 (1-2). pp. 435-456.

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Abstract

We extend the critical point self-consistency method used to solve field theories at their d-dimensional fixed point in the large N expansion to include superfields. As an application we compute the beta-function of the Wess-Zumino model with an O(N) symmetry to O(1/N^2). This result is then used to study the effect the higher order corrections have on the radius of convergence of the 4-dimensional beta-function at this order in 1/N. The critical exponent relating to the wave function renormalization of the basic field is also computed to O(1/N^2) and is shown to be the same as that for the corresponding field in the supersymmetric O(N) sigma model in d-dimensions. We discuss how the non-renormalization theorem prevents the full critical point equivalence between both models.

Item Type: Article
Additional Information: 19 latex pages, 5 postscript figures
Uncontrolled Keywords: large N methods, critical exponents, beta-function, supersymmetry, Wess-Zumino model
Subjects: ?? QC ??
Divisions: Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User: Symplectic Admin
Date Deposited: 02 Dec 2008 11:19
Last Modified: 14 Oct 2023 15:33
DOI: 10.1016/S0550-3213(98)00236-3
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/720