# Aspects of BRST Quantization

@article{Holten1989AspectsOB, title={Aspects of BRST Quantization}, author={Jan Willem van Holten}, journal={Lecture Notes in Physics}, year={1989}, volume={659}, pages={99-166} }

BRST-methods provide elegant and powerful tools for the construction and analysis of constrained systems, including models of particles, strings and fields. These lectures provide an elementary introduction to the ideas, illustrated with some important physical applications.

#### 37 Citations

BRST Quantization of Gravity

- Physics
- 2017

On the macroscopic level, Einstein’s general relativity (GR) has passed every test “with flying colors”; see Will (2006, 2014) for recent reviews. However, Einstein’s theory has thus far resisted… Expand

Multisymplectic methods in field theory with symmetries and BRST

- Physics
- 2016

The generalization of Hamiltonian mechanics to covariant Hamiltonian field theory on multiphase space is given an accessible exposition as a practical method covering various topics, and a classical… Expand

The Batalin–Vilkovisky formalism description of self-dual Chern–Simons gauge theory coupled to matter fields in superspace

- Physics
- 2020

We construct the extended BRST and anti-BRST transformation by considering a shift symmetry both in Abelian and non-Abelian Chern–Simons theories coupled to scalar fields using the approach of Bata...

BRST and Topological Gauge Theories

- Mathematics
- 2002

In this thesis, the BRST-quantization of gauge theories is discussed. A detailed analysis of the BRST-quantization on inner product spaces is performed for a class of abelian models, including… Expand

Clifford Geometrodynamics

- Physics
- 2002

Classical anti-commuting spinor fields and their dynamics a re derived from the geometry of the Clifford bundle over spac etime via the BRST formulation. In conjunction with Kaluza-K lein theory,… Expand

Interpolating action for strings and membranes: A study of symmetries in the constrained Hamiltonian approach

- Physics
- 2004

A master action for bosonic strings and membranes, interpolating between the Nambu--Goto and Polyakov formalisms, is discussed. The role of the gauge symmetries vis-\`{a}-vis reparametrization… Expand

An extended BRST-anti-BRST invariant description of Maxwell–Chern–Simons gauge theory coupled to scalar field in superspace

- Physics
- Chinese Journal of Physics
- 2020

Abstract {We discuss the extended BRST and anti-BRST transformations for Maxwell-Chern-Simons gauge theory coupled to scalar field in the framework of Batalin-Vilkovisky description. Besides we… Expand

An Explicit Embedding of Gravity and the Standard Model in E8

- Physics
- 2010

The algebraic elements of gravitational and Standard Model gauge fields acting on a generation of fermions may be represented using real matrices. These elements match a subalgebra of spin(11,3)… Expand

On SU(2) Anomaly and Majorana Fermions

- Physics
- 2017

In this paper, a loophole in the S U ( 2 ) gauge anomaly is presented. It is shown that using several topological tools, a theory can be designed that implements the quantization of a single Weyl… Expand

Chern–Simons solutions of the chiral teleparallelism constraints of gravity

- Physics
- 2002

Abstract Canonical transformations to complex variables in the teleparallelism equivalent (GR ∥ ) of general relativity are generated by the translational boundary term id C TT . In this Yang–Mills… Expand

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