A twisted version of four dimensional supersymmetric gauge theory is formulated. The model, which refines a nonrelativistic treatment by Atiyah, appears to underlie many recent developments in topology of low dimensional manifolds; the Donaldson polynomial invariants of four manifolds and the Floer groups of three manifolds appear naturally. The model may also be interesting from a physical viewpoint; it is in a sense a generally covariant quantum field theory, albeit one in which general covariance is unbroken, there are no gravitons, and the only excitations are topological.

/pdf/topological-quantum-field-theory-4kaklz82as.pdf

Topological quantum field theory

Renormalization of gauge theories

Back-To-Back Jets in QCD

The most non-trivial of the established microscopic theories of physics is QCD: the theory of the strong interaction. A critical link between theory and experiment is provided by the methods of perturbative QCD, notably the well-known factorization theorems. Giving an accurate account of the concepts, theorems and their justification, this book is a systematic treatment of perturbative QCD. As well as giving a mathematical treatment, the book relates the concepts to experimental data, giving strong motivations for the methods. It also examines in detail transverse-momentum-dependent parton densities, an increasingly important subject not normally treated in other books. Ideal for graduate students starting their work in high-energy physics, it will also interest experienced researchers wanting a clear account of the subject.

/pdf/foundations-of-perturbative-qcd-57f25gk1iq.pdf

Foundations of Perturbative QCD

Topological field theory

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.

https://projecteuclid.org/download/pdf_1/euclid.cmp/1103899003

Renormalization of the Abelian Higgs-Kibble Model

/pdf/renormalization-of-the-abelian-higgs-kibble-model-14fr0vp7oj.pdf

The Abelian Higgs-Kibble Model. Unitarity of the S Operator

/pdf/angular-analysis-of-elementary-particle-reactions-39yj7pwmnb.pdf

R. Stora

Papers

Renormalization of gauge theories

Renormalization of the Abelian Higgs-Kibble Model

Renormalization of the Abelian Higgs-Kibble Model

The Abelian Higgs-Kibble Model. Unitarity of the S Operator

Angular analysis of elementary particle reactions