Journal ArticleDOI
Renormalization of Massless Yang-Mills Fields
TLDR
The problem of renormalization of non-gauge invariant regulator fields is studied in this paper, where it is shown that in the limit of high regulator mass gauge invariance can be restored by means of a finite number of counterterms in the Lagrangian.About:
This article is published in Nuclear Physics.The article was published on 1971-10-01. It has received 823 citations till now. The article focuses on the topics: Introduction to gauge theory & Gauge theory.read more
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Regularization and Renormalization of Gauge Fields
Gerard 't Hooft,M.J.G. Veltman +1 more
TL;DR: In this article, a new regularization and renormalization procedure for gauge theories is presented, which is particularly well suited for the treatment of gauge theories and is transparent when anomalies such as the Bell-Jackiw-Adler anomaly may occur.
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The anatomy of electroweak symmetry breaking: Tome I: The Higgs boson in the Standard Model
TL;DR: In this paper, the authors focused on the mechanism of electroweak symmetry breaking and the fundamental properties of the Higgs particle of the Standard Model and its decay modes and production mechanisms at hadron colliders and at future lepton colliders.
Journal ArticleDOI
Topology of the gauge condition and new confinement phases in non-abelian gauge theories
TL;DR: In this article, it was shown that SU(n) gauge theories can be written in the form of abelian gauge theories with N − 1 fold multiplicity enriched with magnetic monopoles with certain magnetic charge combinations.
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Renormalization of the Abelian Higgs-Kibble Model
C. Becchi,A. Rouet,R. Stora +2 more
TL;DR: In this paper, the perturbative renormalization of the abelian Higgs-Kibble model is studied within the class of renormalizable gauges which are odd under charge conjugation.
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On the pomeranchuk singularity in asymptotically free theories
TL;DR: In this article, the high energy amplitude in the spontaneously broken Yang-Mills model within the leading logarithmic approximation was calculated, and it was shown that the vector meson is reggeised whereas the Pomeranchon is a fixed branch point located at the right hand from j = 1.
References
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Journal ArticleDOI
Axial vector vertex in spinor electrodynamics
TL;DR: In this article, the axial-vector vertex in spinor electrodynamics has anomalous properties which differ with those found by the formal manipulation of field equations, and the divergence of axial vector current is not the usual expression calculated from the field equations.
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Conservation of Isotopic Spin and Isotopic Gauge Invariance
Chen Ning Yang,Robert L. Mills +1 more
TL;DR: In this article, it was pointed out that the usual principle of invariance under isotopic spin rotation is not consistant with the concept of localized fields, and the possibility of having invariance in local isotope spin rotations was explored.
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A PCAC puzzle: π0→γγ in the σ-model
TL;DR: In this paper, a modification of the Pauli-Villars-Gupta regularization was proposed which respects both PCAC and gauge invariance for π0→γγ.
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Feynman Diagrams for the Yang-Mills Field
L. D. Faddeev,V.N. Popov +1 more
TL;DR: In this paper, a simple method for calculation of the contribution from arbitrary diagrams with closed loops was proposed, based on the method of Feynman functional integration, which is used in this paper.
Journal ArticleDOI
Quantum Theory of Gravity. II. The Manifestly Covariant Theory
TL;DR: In this paper, it is shown that the invariance of non-radiatively-corrected amplitudes can be obtained by decomposing them into Feynman baskets, i.e., sums over tree amplitudes (bare scattering amplitudes) in which all external lines are on the mass shell.