Nonzeta knots in the renormalization of the Wess-Zumino model?
Dec, 199710 pages
Published in:
- Phys.Lett.B 424 (1998) 85-92
e-Print:
- hep-th/9712140 [hep-th]
Report number:
- LTH-418
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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.Note:
- 10 latex pages, 5 postscript figures Report-no: LTH-418
- Wess-Zumino model
- symmetry: O(N)
- expansion 1/N
- renormalization group: beta function
- Dyson-Schwinger equation
- critical phenomena
- regularization: zeta function
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