AMPLIFICATION OF THE SCATTERING CROSS-SECTION DUE TO NONTRIVIAL TOPOLOGY OF THE SPACETIME

In [1, 2] it was demonstrated that the total cross section of the scat tering of two light particles (zero modes of the Kaluza-Klein tower) i n the six-dimensional lambda phi(4) model differs significantly from t he cross section of the same process in the conventional lambda phi(4) theory in four space-time dimensions even for the energies below the threshold of the first heavy particle. In the present article the anal ytical structure of the cross section in the same model with torus com pactification for arbitrary radii of the two-dimensional torus is stud ied. Also, further amplification of the total cross section due to int eraction of the scalar field with constant background Abelian gauge po tential in the space of extra dimensions is shown.