Upper Bound for Induced Gravitation

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Other Nonperturbative Techniques, Spontaneous And Radiative Symmetry Breaking

Scientific paper

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)CψΛ2 is obtained, where Cψ 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.

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