On the existence of massless gravitons in the effective theory

M. A. Vakhidov, M. A. Dvornikov
Comments: 31 pages, 3 figures, 1 table; v2: references added, version to appear in PRD

We propose a model for the existence of massless graviton particles in a class of effective field theories which is quantum mechanically possible. The effective theory is defined by the Einstein-Higgs mechanism and the theory of gravitons (S-D theory) is assumed to be the Higgs theory. The theory of gravitons is characterized by the Bohr-Rindler gravity and the effective theory is a conserved quantity of the Einstein-Higgs field. The model is described by an anti-de Sitter space-time with a central charge of the graviton and the effective theory is a general quantum theory with a scalar potential. The model is shown to be asymptotically real, which is a condition for the existence of massless graviton particles. We also present a simple formula for the massless graviton particle mass and the existence of massless graviton particles.