B. Charneski, A. C. Lehum, A. J. da Silva
In this letter we discuss the role of gravitational contributions to the running of the electric charge through the evaluation of the scattering amplitude of charged pions in scalar electrodynamics. Computing the quadratic divergent part of the S-matrix amplitude for two distinct scattering processes, we show that a single definition of the running of the electric charge, that render it asymptotically free, can be made for both processes. Our result agrees with earlier ones, based on the calculation of the effective action, which suggest that the running of gauge coupling constants are driven in the direction of asymptotic freedom, when quantum gravitational corrections are taken into account.
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http://arxiv.org/abs/1306.4865
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