A renormalization group improved non-local gravitational effective Lagrangian

Abstract

Renormalization group techniques are used in order to obtain the improved non-local gravitational effective action corresponding to any asymptotically free GUT, up to invariants which are quadratic on the curvature. The corresponding non-local gravitational equations are written down, both for the case of asymptotically free GUTs and also for quantum R${}^2$-gravity. The implications of the results when obtaining the flux of vacuum radiation through the future null infinity are briefly discussed.

LaTeX file, 11 pages, no figures

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