1997/12/15 by P. M. Ferreira, J. A. Gracey
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #hep-th
paper · pdf · doi:10.1016/s0370-2693(98)00169-5
published as Phys.Lett. B424 (1998) 85-92 · 10 latex pages, 5 postscript figures
arxiv created 1997/12/15 · openalex publication_date 1998/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 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) phi4-theory non-zeta transcendentals, associated with for example the (3,4)-torus knot, cancel.