Ferreira, PM and Gracey, JA ORCID: 0000-0002-9101-2853
(1998)
The beta-function of the Wess-Zumino model at O(1/N-2).
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 |
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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: | 16 Dec 2022 09:50 |
DOI: | 10.1016/S0550-3213(98)00236-3 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/720 |