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 |
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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 |