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Scholarly Communication

The beta-function of the Wess-Zumino model at O(1/N2)

Ferreira, P.M. and Gracey, J.A. (1998) The beta-function of the Wess-Zumino model at O(1/N2). Nuclear Physics B, 525 (1-2). pp. 435-456. ISSN 0550-3213

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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:LTH-416. arXiv Number: arXiv:hep-th/9712138v1. Available online 21 October 1998. Issue date: 10 August 1998.
Uncontrolled Keywords:Large N methods; Critical exponents; /3-function; Supersymmetry; Wess-Zumino model
Subjects:Q Science > QC Physics
Departments, Research Centres and Related Units:Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences
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ID Code:720
Deposited On:02 Dec 2008 11:19
Last Modified:19 May 2011 21:09

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