Abstract:
We obtain the upper bound for the total scattering cross section $\sigma_{\text{tot}}(s)\leq Cs^{\rho-1}\ln^2s$ in the nonlocal quantum field theory of a scalar field with a bounded amplitude growth $\sim e^{B\|p^2\|^\rho}$ in the complex momentum $p^2$-space.
Citation:
G. V. Efimov, “Amplitudes in Nonlocal Theories at High Energies”, TMF, 128:3 (2001), 395–402; Theoret. and Math. Phys., 128:3 (2001), 1169–1175