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 Section B Nuclear Elementary Particle and High Energy Physics, 424 (1-2). pp. 85-92. ISSN 0370-2693

	Postscript (Requires a viewer, such as GSview) 9712140v1.ps.gz - Unspecified Download (65kB)
	PDF 649.pdf - Unspecified Download (132kB)

Abstract

We solve the Schwinger Dyson equations of the O(N) symmetric Wess-Zumino model at O(1/N³) at the non-trivial fixed point of the d-dimensional β-function and deduce a critical exponent for the wave function renormalization at this order. By developing the ∈-expansion of the result, which agrees with known perturbation theory, we examine the distribution of transcendental coefficients and show that only the Riemann ζ series arises at this order in 1/N. Unlike the analogous calculation at the same order in the bosonic O(N) φ⁴-theory non-zeta transcendentals, associated with for example the (3,4)-torus knot, cancel. © 1998 Elsevier Science B.V.

Item Type:	Article
Additional Information:	10 latex pages, 5 postscript figures
Uncontrolled Keywords:	hep-th, hep-th
Subjects:	?? QC ??
Divisions:	Faculty of Science & Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	02 Dec 2008 10:58
Last Modified:	24 Jan 2026 00:23
DOI:	10.1016/S0370-2693(98)00169-5
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/649
Disclaimer:	The University of Liverpool is not responsible for content contained on other websites from links within repository metadata. Please contact us if you notice anything that appears incorrect or inappropriate.