Non-zeta knots in the renormalization of the Wess-Zumino model?



Ferreira, PM and Gracey, JA ORCID: 0000-0002-9101-2853
(1998) Non-zeta knots in the renormalization of the Wess-Zumino model? PHYSICS LETTERS B, 424 (1-2). pp. 85-92.

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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
Additional Information: 10 latex pages, 5 postscript figures
Uncontrolled Keywords: hep-th, hep-th
Subjects: ?? QC ??
Divisions: Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User: Symplectic Admin
Date Deposited: 02 Dec 2008 10:58
Last Modified: 16 Dec 2022 09:50
DOI: 10.1016/S0370-2693(98)00169-5
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/649