THE DYNAMICAL ORIGIN OF THE MASSIVE GRAVITON AND DECOUPLING OF TORSION
Subhamoy Singha Roy
Department of Physics, JIS College of Engineering, Kalyani, India
ABSTRACT: When a direction vector is attached to a space-time point, we may really express it as a spin. opposite orientations of the vector produce opposite helicities, which indicate states of spin up and down. Discreteness embedded in the space-time manifold gives rise to a lattice where Lorentz symmetry is broken due to the noncommutativity of space-time coordinates, resulting in an anisotropic space. But when the noncommutativity parameter falls to the usual symplectic matrix, space-time and torsion are no longer connected, and general relativity realizes gravity with two additional degrees of freedom: a scalar field and a heavy graviton. The condition is similar to spin-charge separation of Yang-Mills gauge fields in the low energy domain.
KEYWORDS: Spin, Helicities, Noncommutativity, Lorentz symmetry, Scalar field, Graviton