Investigation of the High Energy Behaviours of the Scalar Particle Scattering Amplitude in the Gravitational Field by Functional Approach

Nguyen Suan Han

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arXiv · hep-th/9411073

Investigation of the High Energy Behaviours of the Scalar Particle Scattering Amplitude in the Gravitational Field by Functional Approach

Nguyen Suan Han

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Abstract

Closed expressions for the Green function and amplitude of the scalar particle scattering in the external gravitational field $g_{μν}(x)$ are found in the form of functional integrals. It is shown that, as compared with the scattering on the vector potential, the tensor character of the gravitational field leads to a more rapid increase of the cross section with increasing energy. Discrete energy levels of particles are obtained in the Newton potential.

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Nguyen Suan Han. 1994-11-10. Investigation of the High Energy Behaviours of the Scalar Particle Scattering Amplitude in the Gravitational Field by Functional Approach. https://arxiv.org/abs/hep-th/9411073

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