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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## 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: | 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 |

DOI: | 10.1016/S0550-3213(98)00236-3 |

Related URLs: | |

Refereed: | No |

Status: | Published |

ID Code: | 720 |

Deposited On: | 02 Dec 2008 11:19 |

Last Modified: | 19 May 2011 21:09 |

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