Soft interaction at high energy and N=4 SYM

Understand

In this paper we show that the N=4 SYM total cross section violates the Froissart theorem, and in the huge range of energy this cross section is proportional to $s^{1/3}$.

• The graviton reggeization will change this increase to the normal logarithmic behaviour $\sigma \propto \ln^2 s$.
• However, we demonstrated that this happens at ultra high energy, much higher than the LHC energy.
• In the region of accessible energy we need to assume that there is a different source for the total cross section, with the value of the cross section about 40 mb.