O(4) symmetric singular solutions and multiparticle cross sections in ${\varphi }^4$ theory at tree level

Abstract

We solve the classical euclidean boundary value problem for tree-level multiparticle production in ${\varphi }^4$ theory at arbitrary energies in the case of $O(4)$ symmetric field configurations. We reproduce known low-energy results and obtain a lower bound on the tree cross sections at arbitrary energies.

Comments: LaTeX, 9pp + 2 Postscript figures, tar-compressed and uuencoded using uufiles; minor Postscript bug fixed