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BRST-quantization and unitarity

Nuclear Physics B - Proceedings Supplements, 1990
Abstract Unitarity conditions for indefinite metric field theories are formulated. Using these conditions a new approach to the BRST-quantization is developed. Some applications are discussed.
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A remark on BRST quantization

Journal of Mathematical Physics, 1988
Using rigged Hilbert space techniques, the scalar product on the BRST cohomology for certain bosonic systems is rigorously defined.
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BRST Quantization

2006
SCOPUS: ch.b ; SCOPUS: ch.b ; info:eu-repo/semantics ...
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BRST STOCHASTIC QUANTIZATION

International Journal of Modern Physics A, 1991
After a brief review of the BRST formalism and of the Parisi-Wu stochastic-quantization method, the BRST-stochastic-quantization scheme is introduced. This scheme allows the second quantization of constrained Hamiltonian systems in a manifestly gauge-symmetry-preserving way.
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BRST quantization in the canonical setting

AIP Conference Proceedings, 2007
After an introduction to the canonical BRST quantization procedure for a first class constrained system on a symplectic manifold, the modification required for a system with reducible symmetry is described. A topological model which exhibits this method is discussed.
Alice Rogers   +4 more
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BRST quantization of the Schwinger model

Journal of Mathematical Physics, 1992
The rigorous construction and study of the BRST formalism for the Schwinger model is performed. The BRST transformation and BRST algebra are defined and the kernel of the BRST charge Q is studied. It is proved that our BRST quantization is physically correct, i.e., ker Q is a non-negative subspace (‘‘no-ghost theorem’’); moreover, the space of the BRST
A. V. Voronin, S. S. Horuzhy
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Quantization and bosonic BRST theory

Annals of Physics, 1991
Abstract We show that BRST symmetry has a natural bosonic analogue in symplectic geometry. In fact, bosonic BRST theory arises as a purely symplectic construction, which can naturally be viewed as a specific instance of symplectic induction. In this context, both the BRST charge and the total ghost number appear as the “components” of a momentum map ...
G.M Tuynman   +4 more
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BRST Quantization of Gravity

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 every attempt at quantization, e.g., it is known to be perturbatively nonrenormalizable, partially due to its dimensional coupling constant.
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