Quantum fields in teleparallel gravity: renormalization at one-loop

We consider the quantization of matter fields in a background described by the teleparallel equivalent to gen- eral relativity. The presence of local Lorentz and gauge sym- metries gives rise to different coupling prescriptions, which we analyse separately. As expected, quantum matter fields produce divergences that cannot be absorbed by terms in the background action of teleparallel equivalent to general rel- ativity. Nonetheless, the formulation of teleparallel gravity allows one to find out the source of the problem. By impos- ing local Lorentz invariance after quantization, we show that a modified teleparallel gravity, in which the coefficients in the action are replaced by free parameters, can be renormalized at one-loop order without introducing higher-order terms. This precludes the appearance of ghosts in the theory.