Factorization and polarization in linearized gravity

Abstract

We investigate all the four-body graviton interaction processes: $gX\to \gamma X$, $gX\to gX$, and $gg\to gg$ with $X$ as an elementary particle of spin less than two in the context of linearized gravity except the spin-3/2 case. We show explicitly that gravitational gauge invariance and Lorentz invariance cause every four-body graviton scattering amplitude to be factorized. We explore the implications of this factorization property by investigating polarization effects through the covariant density matrix formalism in each four-body graviton scattering process.

45 pages, figures are included (uses pictex), RevTex

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