The Interaction Between Massive Photons And Gravitons

The existence of gravitational wave is a direct consequence of Einstein's theory of general relativity. The detection of gravitational wave is considered the most effective, most rigorous and most stirring test to the general theory of relativity. Gravitational wave has become a scientific focus of past decades. Physicists have greatly achieved in the search of gravitational waves, but did not come to the final verification. At present, the observation of PSR1913+16 is the only available proof of gravitational wave, even though merely an indirect evidence it is. The mass of photon is another important question with much interest. In Maxwell's electrodynamics and quantum electrodynamics by Feynman, the rest mass of photon is assumed to be zero without convincing theoretical proof. Although this assumption is approved by experiments of high accuracy, the pursuit for concrete knowledge drove people into the search for any hint of photon mass, because the photon mass is as important as an determinant watershed of the credibility of the principle of invariant light velocity in special theory of relativity. On this notation, many experiments have been devised to test the mass of photon, although still far away from an approval result. The research on the spontaneous symmetry breaking in gauge field theory may provide a theoretical foundation for the existence of photon mass.The analyses by previous authors of the behavior of massless photons under static and dynamic gravity or that of massive photons under static gravity are summarized in this thesis. This naturally leads to this thesis, a treatment of the interaction between massive photons and gravitons in the framework of quantum field, presently an absence of research. The interactive Lagrangian density, hence the Feynman rules of the interaction between massive photons and gravitons are presented in this thesis, which can provide a step-stone for further hunting for gravitational wave and the possible rest mass of photon.The work of this thesis can result in possible corrections to the detection scheme by the resonance between electromagnetic and gravitational wave and can enlighten new experiments for the test of photon mass, thus is of interests in further search for gravitational wave and the possible photon mass.