Scalar-graviton interaction in the noncommutative space
F. T. Brandt, M. R. Elias-Filho

TL;DR
This paper derives the leading order interaction between gravitons and neutral scalar bosons within noncommutative field theory, utilizing Ward identities linked to symplectic diffeomorphism invariance.
Contribution
It introduces a novel method to compute graviton-scalar interactions in noncommutative spaces using symmetry principles.
Findings
Derived the graviton-scalar interaction at leading order in noncommutative space.
Utilized Ward identities to ensure gauge invariance in the interaction.
Provided a framework for analyzing gravitational interactions in noncommutative field theories.
Abstract
We obtain the leading order interaction between the graviton and the neutral scalar boson in the context of noncommutative field theory. Our approach makes use of the Ward identity associated with the invariance under a subgroup of symplectic diffeomorphisms.
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