Gravitational corrections to the scattering in a massless quantum electrodynamics
arXiv:1306.4865 · doi:10.1103/PhysRevD.90.127702
Abstract
We discuss the role of gravitational corrections to the running of the electric charge through the evaluation of scattering amplitudes of charged particles in massless scalar electrodynamics. Computing the complete divergent part of the S-matrix amplitude for two distinct scattering processes, we show that quantum gravitational corrections do not alter the running behavior of the electric charge. Our result does not exclude the possibility that the presence of a second dimensional constant in the model (a cosmological constant or the presence of massive particles) could alter this behavior, as was proposed in earlier works.
10 pages, 2 figures. Minor corrections
References in corpus (8)
- The effective field theory treatment of quantum gravity
- Gauge Dependence of Gravitational Correction to Running of Gauge Couplings
- Asymptotic Safety in Einstein Gravity and Scalar-Fermion Matter
- Cosmological constant and quantum gravitational corrections to the running fine structure constant
- Quantum gravitational contributions to the beta function of quantum electrodynamics
- Interacting Scalar Fields in the Context of Effective Quantum Gravity
- Ambiguities in the gravitational correction of quantum electrodynamics
- Gravitational corrections to the scattering of scalar particles