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

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

1997-12-15

arxiv.org/abs/hep-th/9712140v1

Phys.Lett. B424 (1998) 85-92

Physics

High Energy Physics

High Energy Physics - Theory

10 latex pages, 5 postscript figures

Scientific paper

10.1016/S0370-2693(98)00169-5

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.

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