Iterative Non-iterative Integrals in Quantum Field Theory

Understand

Single scale Feynman integrals in quantum field theories obey difference or differential equations with respect to their discrete parameter $N$ or continuous parameter $x$.

• The analysis of these equations reveals to which order they factorize, which can be different in both cases.
• The simplest systems are the ones which factorize to first order.
• For them complete solution algorithms exist.