A Naturally Renormalized Quantum Field Theory

It was shown that quantum metric fluctuations smear out the singularities of Green’s functions on the light cone [1], but it does not remove other ultraviolet divergences of quantum field theory. We have proved that the quantum field theory in Krein space, i.e. indefinite metric quantization, removes all divergences of quantum field theory with exception of the light cone singularity [2, 3]. In this talk, it is discussed that the combination of quantum field theory in Krein space together with consideration of quantum metric fluctuations, results in quantum field theory without any divergences. [1] Ford H.L., Quantum Field Theory in Curved Spacetime, gr-qc/9707062. [2] Gazeau J.P., Renaud J., Takook M.V., Class. Quant. Grav., 17(2000)1415, gr-qc/9904023. [3] Takook M.V., Int. J. Mod. Phys. E, 11(2002)509, gr-qc/0006019.