Special Class of Feynman Integrals in Two-Dimensional Space-Time

Abstract

Contributions of Feynman diagrams consisting of a single loop with an arbitrary number of vertices are explicitly evaluated in two-dimensional space-time. The result can be written as a sum of logarithms multiplied by algebraic expressions. Each logarithm is characteristic of a simple diagram of one loop with two external lines, while the coefficients can be obtained from rules analogous to the rules of residue calculus.