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}
}
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References

SHOWING 1-10 OF 14 REFERENCES
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
...
...