Two-Loop $ϕ^4$-Diagrams from String Theory

Abstract

Using the {\em cutting and sewing} procedure we show how to get Feynman diagrams, up to two-loop order, of $Φ^{4}$-theory with an internal SU(N) symmetry group, starting from tachyon amplitudes of the open bosonic string theory. In a properly defined field theory limit, we easily identify the corners of the string moduli space reproducing the correctly normalized field theory amplitudes expressed in the Schwinger parametrization.