Jost-Lehmann-Dyson representation in higher dimensional field theories

The Jost-Lehmann-Dyson representation is derived for massive scalar field theories in higher spacetime dimensions, D>4, for the four point scattering amplitude. The representation is very crucial to investigate the analyticity properties of the amplitude. The axiomatic approach of Lehmann-Symanzik-Zimmermann is adopted to show the existence of such a representation. Consequently, a host of interesting results will follow from derivation of JLD representation such as proof of analyticity properties and asymptotic behavior of the amplitude.