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14 April 2021
  » arxiv » hep-th/9803011

 Article overview

Non-abelian gauge theories as a consequence of perturbative quantum gauge invariance
Andreas Aste ; G"unter Scharf ;
Rating Members: 4.33/5 (1 reader) | Visitors: 5/5 (2 visitors)
Date 2 Mar 1998
Journal Int.J.Mod.Phys. A14 (1999) 3421-3434
Subject hep-th
AbstractWe show for the case of interacting massless vector bosons, how the structure of Yang-Mills theories emerges automatically from a more fundamental concept, namely perturbative quantum gauge invariance. It turns out that the coupling in a non-abelian gauge theory is necessarily of Yang-Mills type plus divergence- and coboundary couplings. The extension of the method to massive gauge theories is briefly discussed.
Source arXiv, hep-th/9803011
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1. review 06030040 (4 readers)    * Rate this comment.
Review title: Interesting approach to quantum gauge invariance
Reviewer: reviewer163
Date: 17 March 2006 at 21:32 GMT.

The article of Andreas Aste and Guenter Scharf is a kind of inversion of 't Hooft's proof that gauge theories are renormalizable - presupposing that Lorentz symmetry, gauge invariance/unitary and renormalizability hold (very basic requirements), the authors show that in the case of massless fields, a gauge theory automatically emerges. They introduce the free field version of the Becchi-Rouet-Stora transformation, which has a much simpler structure than the full BRS transformation, and show that this very simple transformation contains the full information about the interacting theory. It is astonishing that these 'simple' observations have not been found in the early times of the development of gauge field theories.

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