Regularization and Renormalization of Gauge Fields

  title={Regularization and Renormalization of Gauge Fields},
  author={Gerard 't Hooft and Martinus J. G. Veltman},
  journal={Nuclear Physics},
A modified renormalization procedure which may avoid use of bare parameters
A new renormalization procedure is introduced via a method that assigns finite values to divergent expressions in quantum field theory. It is shown that this procedure works at the two‐loop level in
N-Loop Treatment of Overlapping Diagrams by the Implicit Regularization Technique
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


Generalized Feynman Amplitudes
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
Symmetry Breaking in Non-Abelian Gauge Theories
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
Broken Symmetries and the Masses of Gauge Bosons
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
Analytic regularization and the divergences of quantum field theories
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
Axial vector vertex in spinor electrodynamics
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
Spontaneous Symmetry Breakdown without Massless Bosons
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
Physical Processes in a Convergent Theory of the Weak and Electromagnetic Interactions
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