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Quantization and bosonic BRST theory
Annals of Physics, 1991The authors study the problem of the quantization of a system with first class constraints. The simplest case to consider is that of a constrained classical system with symmetry which may be described by means of a symplectic manifold (M,\(\omega\)) with a free and proper Hamiltonian action of a connected Lie group G. The authors examine the conditions
Duval, C. +4 more
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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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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 of the Siegel Action
International Journal of Theoretical Physics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kulshreshtha, Usha +2 more
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BRST-quantization and unitarity
Nuclear Physics B - Proceedings Supplements, 1990Abstract 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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BRST quantization of topological field theory
Physical Review D, 1990Summary: The canonical quantization of the topological field theory model \(\int_M F\wedge B\), proposed by Horowitz, is examined through the Becchi-Rouet-Stora-Tyutin approach. With this approach we have a manifestly covariant description of a certain class of topological quantum field theories. However, if \(M\) in the present model is any orientable
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BRST quantization and coadjoint orbit theories
Physical Review D, 1991A new ‘harmonic’ BRST method is presented for quantizing those dynamical systems having second-class constraints which split into holomorphic and antiholomorphic algebras. These theories include those whose phase spaces are coadjoint orbits of a compact semisimple Lie group.
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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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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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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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Using rigged Hilbert space techniques, the scalar product on the BRST cohomology for certain bosonic systems is rigorously defined.
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