MPEJ Volume 1, No.6, 24pp
Received: October 5, 1995, Revised: November 30, 1995, Accepted: December 6, 1995

Hans Koch, Peter Wittwer
Bounds on the Zeros of a Renormalization Group Fixed Point

ABSTRACT:  We prove that the Renormalization Group transformation
for the Laplace transform of the d=3 Dyson-Baker hierarchical model
has a nontrivial entire analytic fixed point whose zeros all lie
on the imaginary axis. Sharp upper and lower bounds on 80 of these zeros
are used to verify the assumptions made in reference [11].
Our proof is computer-assisted.