Infrared divergence for Soft Graviton

Abstract

In the length scale more than Plank length(1.616×10^−33cm), we describe graviton as a spin 2 tensor boson, and we use Feynman Rules. In this article, it is shown that the infrared divergences arising in the quantum theory of graviton can be removed by using methods of quantum electrodynamics(QED). In the massless electrodynamics, such as Yang-Mills theory, the infrared divergences from the case, external particle is massless, can not be removed. However we verify the cancellation of divergences occurs dealing with graviton, that is caused by the particular characteristic of gravitational coupling. We estimate the gravitational radiation emitted during thermal collisions in the sun. This is review paper for [Infrared Photons and Gravitons, S. Weinberg, phys. Rev. 140, B516].