Ferreira, P.M. and Gracey, J.A. (1998) *Non-zeta knots in the renormalization of the Wess-Zumino model?* Physics Letters B, 424 (1-2). pp. 85-92. ISSN 0370-2693

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## Abstract

We solve the Schwinger Dyson equations of the O(N) symmetric Wess-Zumino model at O(1/N^3) at the non-trivial fixed point of the d-dimensional beta-function and deduce a critical exponent for the wave function renormalization at this order. By developing the epsilon-expansion of the result, which agrees with known perturbation theory, we examine the distribution of transcendental coefficients and show that only the Riemann zeta series arises at this order in 1/N. Unlike the analogous calculation at the same order in the bosonic O(N) phi^4-theory non-zeta transcendentals, associated with for example the (3,4)-torus knot, cancel.

Item Type: | Article |
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Additional Information: | LTH 418. arXiv Number: arXiv:hep-th/9712140v1. Available online 6 July 1998. Issue: 2 April 1998. |

Uncontrolled Keywords: | EXPONENT-ETA |

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/S0370-2693(98)00169-5 |

Related URLs: | |

Refereed: | No |

Status: | Published |

ID Code: | 649 |

Deposited On: | 02 Dec 2008 10:58 |

Last Modified: | 23 Feb 2012 12:09 |

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