An algebraic criterion for the ultraviolet finiteness of quantum field theories
An algebraic criterion for the ultraviolet finiteness of quantum field theories
An algebraic criterion for the vanishing of the beta function for renormalizable quantum field theories is presented. Use is made of the descent equations following from the Wess-Zumino consistency condition. In some cases, these equations relate the fully quantized action to a local gauge invariant polynomial. The vanishing of the …