Author:
Barvinsky Andrei O.,Blas Diego,Herrero-Valea Mario,Sibiryakov Sergey M.,Steinwachs Christian F.
Abstract
Abstract
Using the background-field method we demonstrate the Becchi-Rouet-Stora-Tyutin (BRST) structure of counterterms in a broad class of gauge theories. Put simply, we show that gauge invariance is preserved by renormalization in local gauge field theories whenever they admit a sensible background-field formulation and anomaly-free path integral measure. This class encompasses Yang-Mills theories (with possibly Abelian subgroups) and relativistic gravity, including both renormalizable and non-renormalizable (effective) theories. Our results also hold for non-relativistic models such as Yang-Mills theories with anisotropic scaling or Hořava gravity. They strengthen and generalize the existing results in the literature concerning the renormalization of gauge systems. Locality of the BRST construction is emphasized throughout the derivation. We illustrate our general approach with several explicit examples.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference61 articles.
1. C. Becchi, A. Rouet and R. Stora, Renormalization of the Abelian Higgs-Kibble Model, Commun. Math. Phys. 42 (1975) 127 [INSPIRE].
2. C. Becchi, A. Rouet and R. Stora, Renormalization of Gauge Theories, Annals Phys. 98 (1976) 287 [INSPIRE].
3. I.V. Tyutin, Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism (in Russian), Lebedev Institute preprint N39 (1975).
4. S. Weinberg, The Quantum Theory of Fields. Vol. 2: Modern Applications, Cambridge University Press, Cambridge U.K. (1996).
5. K.S. Stelle, Renormalization of Higher Derivative Quantum Gravity, Phys. Rev. D 16 (1977) 953 [INSPIRE].
Cited by
59 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献