Open Access
Renormalization of the Abelian Higgs-Kibble Model
C. Becchi,A. Rouet,R. Stora +2 more
- Vol. 22, pp 1-53
TLDR
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.Abstract:
This article is devoted to the perturbative renormalization of the abelian Higgs-Kibble model, within the class of renormalizable gauges which are odd under charge conjugation. The Bogoliubov Parasiuk Hepp-Zimmermann renormalization scheme is used throughout, including the renormalized action principle proved by Lowenstein and Lam. The whole study is based on the fulfillment to all orders of perturbation theory of the Slavnov identities which express the invariance of the Lagrangian under a supergauge type family of non-linear transformations involving the Faddeev-Popov ghosts. Direct combinatorial proofs are given of the gauge independence and unitarity of the physicalS operator. Their simplicity relies both on a systematic use of the Slavnov identities as well as suitable normalization conditions which allow to perform all mass renormalizations, including those pertaining to the ghosts, so that the theory can be given a setting within a fixed Fock space. Some simple gauge independent local operators are constructed.read more
Citations
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Ruelle Zeta Function from Field Theory.
TL;DR: In this article, a field-theoretic interpretation of Ruelle zeta function is proposed, and it can be seen as the partition function for BF theory when an unusual gauge-fixing condition on contact manifolds is imposed.
Journal ArticleDOI
Algebraic renormalization of twisted /N=2 supersymmetry with /Z=2 central extension
Bodo Geyer,Dietmar Mülsch +1 more
TL;DR: In this article, the renormalizability of massive topological QCD based on algebraic BRST technique was studied by adopting a noncovariant Landau type gauge and making use of the full topological superalgebra.
Journal ArticleDOI
Becchi-Rouet-Stora-Tyutin quantization and Hamiltonian formalism
TL;DR: An introductory review of BRST hamiltonian formalism is presented in this article, where the method of quantization of gauge and string theories is discussed and a few simple examples are presented to illustrate the BRST techniques.
Dissertation
Singular vectors for the WN algebras and the BRST cohomology for relaxed highest-weight Lk(sl(2)) modules
TL;DR: In this article, the singular vectors of the W_n algebras and the BRST cohomology of modules of the simple vertex operator algebra L_k(sl2) associated to the affine Lie algebra of sl2 in the relaxed category were derived.
Journal ArticleDOI
Introducing division by an ‘‘a’’ number and a new ‘‘b’’ number in particle physics
TL;DR: In this article, a new Grassmann number (b=a1a2⋅⋆Ωℓn, where n is even and each a is an anticommutative number) is introduced, and the specialities of this number are expounded.
References
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Journal ArticleDOI
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.
Journal ArticleDOI
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
Renormalization of gauge theories
C. Becchi,A. Rouet,R. Stora +2 more
TL;DR: Gauge theories are characterized by the Slavnov identities which express their invariance under a family of transformations of the supergauge type which involve the Faddeev Popov ghosts as mentioned in this paper.