Regularization and Renormalization of Gauge Fields

@article{Hooft1972RegularizationAR,
title={Regularization and Renormalization of Gauge Fields},
author={Gerard 't Hooft and Martinus J. G. Veltman},
journal={Nuclear Physics},
year={1972},
volume={44},
pages={189-213}
}

We show how the Implicit Regularization Technique (IRT) can be used for the perturbative renormalization of a simple field theoretical model generally used as a test theory for new techniques. While… Expand

This book contains a valuable discussion of renormalization through the addition of counterterms to the Lagrangian, giving the first complete proof of the cancellation of all divergences in an… Expand

According to the Goldstone theorem, any manifestly covariant broken-symmetry theory must exhibit massless particles. However, it is known from previous work that such particles need not appear in a… Expand

In a recent note' it was shown that the Goldstone theorem, ' that Lorentz-covaria. nt field theories in which spontaneous breakdown of symmetry under an internal Lie group occurs contain zero-mass… Expand

SummaryWe present a method of analytic regularization with which any element of theS-matrix becomes an analytic function of a complex parameter. The usual divergences appear simply as poles at the… Expand

Working within the framework of perturbation theory, we show that the axial-vector vertex in spinor electrodynamics has anomalous properties which disagree with those found by the formal manipulation… Expand

We examine a simple relativistic theory of two scalar fields, first discussed by Goldstone, in which as a result of spontaneous breakdown of U(1) symmetry one of the scalar bosons is massless, in… Expand

A previously proposed theory of leptonic weak and electromagnetic interactions is found to be free of the divergence difficulties present in conventional models. The experimental implications of this… Expand