The LBK theorem to all orders

Supertranslations to all orders

The transformation laws of the general linear superfield V (x, θ, θ) and chiral superfields under N = 1 supertranslations exp[i(ζ ·Q+Q · ζ)] are tabulated to all orders in the parameters ζ , ζ.

Anomalies to All Orders

A distinguishing feature of the chiral and trace anomalies in gauge theory is that their coefficients can be determined to all orders of perturbation theory. My aims in this article are to survey the historical route leading to the discovery of this property of anomalies, and to review its current status. In the first part I discuss the nonrenormalization of the chiral anomaly, in its historica...

The Pinch Technique to All Orders

The generalization of the pinch technique to all orders in perturbation theory is presented. The effective Green’s functions constructed with this procedure are singled out in a unique way through the full exploitation of the underlying Becchi-Rouet-Stora-Tyutin symmetry. A simple all-order correspondence between the pinch technique and the background field method in the Feynman gauge is establ...

Converse Lagrange Theorem Orders and Supersolvable Orders

For finite groups, we investigate both converse Lagrange theorem (CLT) orders and supersolvable (SS) orders, and see that the latter form a proper subset of the former. We focus on the difference between these two sets of orders, reformulate the work of earlier authors algorithmically, and construct a computer program to enumerate such NSS-CLT orders. We establish several results relating to NS...

Adler-Bardeen theorem and cancellation of gauge anomalies to all orders in nonrenormalizable theories