BRST quantization of the spinning particle. (English) Zbl 0662.46083
Using rigged Hilbert space techniques, the spinning particle is BRST quantized. It is shown that there is a unique admisible Hermitian form on the extended phase space. With respect to it, the BRST operator is anti- Hermitian. The doubling of the BRST cohomology is removed by choosing a subspace on which the Hermitian form is positive definite.
MSC:
| 46N99 | Miscellaneous applications of functional analysis |
| 81S10 | Geometry and quantization, symplectic methods |
| 47A70 | (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces |
Keywords:
rigged Hilbert space techniques; spinning particle; BRST operator; doubling of the BRST cohomology is removedReferences:
| [1] | DOI: 10.1063/1.524603 · doi:10.1063/1.524603 |
| [2] | DOI: 10.1063/1.528015 · Zbl 0654.46069 · doi:10.1063/1.528015 |
| [3] | DOI: 10.1016/0370-1573(85)90103-6 · doi:10.1016/0370-1573(85)90103-6 |
| [4] | DOI: 10.1016/0370-2693(86)91501-7 · doi:10.1016/0370-2693(86)91501-7 |
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