Nonzeta knots in the renormalization of the Wess-Zumino model?

Dec, 1997
10 pages
Published in:
  • Phys.Lett.B 424 (1998) 85-92
e-Print:
Report number:
  • LTH-418

Citations per year

19982004201020162021102
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