Alladi Ramakrishnan Hall

High Energy Scatterings in Higher Dimensional Theories

Jnanadeva Maharana

Institute of Physics, Bhubaneswar

The high energy behavior of scattering amplitudes in spacetime dimensions,
$D > 4$, is investigated. The bound on total cross sections, $\sigma \le Constant ~ (logs)^{D−2}$,
$D \ge 4$ has been obtained in the past under usual assumptions. I derive new
bounds 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 $0 < t < T_0$.