The Beta function of the Wess-Zumino model at O (1 / N**2)
Dec, 199719 pages
Published in:
- Nucl.Phys.B 525 (1998) 435-456
e-Print:
- hep-th/9712138 [hep-th]
Report number:
- LTH-416
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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.Note:
- 19 latex pages, 5 postscript figures Report-no: LTH-416
- 11.10.Gh
- 11.15.Pg
- 11.30.Pb
- 11.25.Db
- Large N methods
- Critical exponents
- β-function
- Supersymmetry
- Wess-Zumino model
- Large N methods
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