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Journal Article

High Energy Scatterings in Higher Dimensional Theories

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Maharana,  Jnanadeva
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1510.03008.pdf
(Preprint), 113KB

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Citation

Maharana, J. (2015). High Energy Scatterings in Higher Dimensional Theories. Journal of Mathematical Physics, 56(10): 4933220. doi:10.1063/1.4933220.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0029-0B08-8
Abstract
The high energy behavior of scattering amplitudes in spacetime dimensions, $D>4$, is investigated. The bound on total cross sections, $\sigma_t \le Constant~(los s)^{D-2}$, $D\ge 4$ has been obtained in the past under usual assumptions. I derive new bound on scattering amplitudes in the region $|t|<T_0$, $t$ being momentum transfer squared. and $T_0$ is a constant. The existence of a zero-free region for the amplitude in complex t-plane, is proved. I prove stronger upper and lower bounds for the absorptive amplitude in the domain $0<t<T_0$.