Upper Bound for Induced Gravitation

Given the assumption that Gind^-1 given by the Adler-Zee formula is positive, an explicit and rigorous upper bound is derived for it. For pure SU(N) gauge theory, (16πG)^-1<~(2512π²)(N²-1)ΛN² is obtained where ΛN is the mass scale. In general the bound (16πG)^-1<~25(π²144)C_ψΛ² is obtained, where C_ψ is the coefficient of the most singular anomaly contribution in x space, a constant easily determined by low-order perturbation theory for any gauge group.