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Factorization and polarization in linearized gravity

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arxiv hep-th/9411092 v1 pith:VJJUAXAE submitted 1994-11-14 hep-th

Factorization and polarization in linearized gravity

classification hep-th
keywords four-bodygravitonrightarrowfactorizationgravityinvariancelinearizedpolarization
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate all the four-body graviton interaction processes: $gX\rightarrow \gamma X$, $gX\rightarrow gX$, and $gg\rightarrow gg$ 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.

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