BRST-antifield quantization : a short review

@article{Fuster2005BRSTantifieldQ,
  title={BRST-antifield quantization : a short review},
  author={Andrea Fuster and M Henneaux and Axel Maas},
  journal={International Journal of Geometric Methods in Modern Physics},
  year={2005},
  volume={2},
  pages={939-964}
}
Most of the known models describing the fundamental interactions have a gauge freedom. In the standard path integral, it is necessary to "fix the gauge" in order to avoid integrating over unphysical degrees of freedom. Gauge independence might then become a tricky issue, especially when the structure of the gauge symmetries is intricate. In the modern approach to this question, it is the BRST invariance that effectively implements the gauge invariance. This set of lectures briefly reviews some… 

Tables from this paper

Hamiltonian BRST-invariant deformations in Abelian gauge theory with higher derivative matter fields
We construct the consistent interactions among the Abelian gauge fields and various higher derivative matter fields within the framework of the Hamiltonian BRST formalism. To achieve this, we mainly
BRST-invariant RG flows
A mass parameter for the gauge bosons in gauge-fixed four-dimensional Yang-Mills theory can be accommodated in a local and manifestly BRST-invariant action. The construction is based on the
Reformulation of the symmetries of first-order general relativity
We report a new internal gauge symmetry of the n-dimensional Palatini action with cosmological term (n>3) that is the generalization of three-dimensional local translations. This symmetry is obtained
BRST detour quantization: Generating gauge theories from constraints
We present the Becchi–Rouet–Stora–Tyutin (BRST) cohomologies of a class of constraint (super) Lie algebras as detour complexes. By interpreting the components of detour complexes as gauge
Gauge-invariant massive BF models
Consistent interactions that can be added to a free, Abelian gauge theory comprising a BF model and a finite set of massless real scalar fields are constructed from the deformation of the solution to
Holomorphic Chern-Simons theory coupled to off-shell Kodaira-Spencer gravity
A bstractWe construct an action for holomorphic Chern-Simons theory that couples the gauge field to off-shell gravitational backgrounds, comprising the complex structure and the (3,0)-form of the
BV and BRST Quantization, Quantum Observables and Symmetry
Gauge redundancy has been a guiding principle for most of the theories about nature. Starting with quantum electrodynamics, continuing with Yang-Mills theories and Quantum Chromodynamics and reaching
...
...

References

SHOWING 1-10 OF 43 REFERENCES
Quantization of Gauge Systems
This is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems. The classical
On the gauge fixed BRST cohomology
Lectures on the antifield-BRST formalism for gauge theories
Local BRST cohomology in gauge theories
Homological perturbation theory and the algebraic structure of the antifield-antibracket formalism for gauge theories
The algebraic structure of the antifield-antibracket formalism for both reducible and irreducible gauge theories is clarified. This is done by using the methods of Homological Perturbation Theory
Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts
A complete canonical formulation of the BRST theory of systems with redundant gauge symmetries is presented. These systems includep-form gauge fields, the superparticle, and the superstring. We first
Spacetime locality of the BRST formalism
The spacetime locality of the BRST formalism is investigated. The analysis covers gauge theories with either closed or open algebras and is undertaken in the explicit context of the antifield
Renormalization of the abelian Higgs-Kibble model
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
...
...