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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Official URL: http://dx.doi.org/10.1016/S0370-2693(98)00169-5

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:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/649