BRST Cohomologies of Mixed and Second Class Constraints
The cohomological resolution of mixed constraints is constructed and shown to give Gupta−Bleuler space of physical states. The differential space and so-called anomalous BRST complex is constructed in detail. Special structures associated with anomaly are demonstrated and proved to be of i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-03-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/3/428 |
| _version_ | 1811186150289702912 |
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| author | Zbigniew Hasiewicz Jan L. Cieśliński |
| author_facet | Zbigniew Hasiewicz Jan L. Cieśliński |
| author_sort | Zbigniew Hasiewicz |
| collection | DOAJ |
| description | The cohomological resolution of mixed constraints is constructed and shown to give Gupta−Bleuler space of physical states. The differential space and so-called anomalous BRST complex is constructed in detail. Special structures associated with anomaly are demonstrated and proved to be of important significance. Finally, the formalism is applied to a spinorial system with second class constraints. In this case, the Laplace operators are proved to define the (irreducibility) equations for fields carrying arbitrary (high) spin. |
| first_indexed | 2024-04-11T13:40:43Z |
| format | Article |
| id | doaj.art-7a211b2bc2d44b208b9a5ce29602e142 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T13:40:43Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-7a211b2bc2d44b208b9a5ce29602e1422022-12-22T04:21:14ZengMDPI AGSymmetry2073-89942020-03-0112342810.3390/sym12030428sym12030428BRST Cohomologies of Mixed and Second Class ConstraintsZbigniew Hasiewicz0Jan L. Cieśliński1Uniwersytet w Białymstoku, Wydział Fizyki, ul. Ciołkowskiego 1L, 15-245 Białystok, PolandUniwersytet w Białymstoku, Wydział Fizyki, ul. Ciołkowskiego 1L, 15-245 Białystok, PolandThe cohomological resolution of mixed constraints is constructed and shown to give Gupta−Bleuler space of physical states. The differential space and so-called anomalous BRST complex is constructed in detail. Special structures associated with anomaly are demonstrated and proved to be of important significance. Finally, the formalism is applied to a spinorial system with second class constraints. In this case, the Laplace operators are proved to define the (irreducibility) equations for fields carrying arbitrary (high) spin.https://www.mdpi.com/2073-8994/12/3/428constrained systemsanomaliescomplex polarizationcohomologieskähler structures |
| spellingShingle | Zbigniew Hasiewicz Jan L. Cieśliński BRST Cohomologies of Mixed and Second Class Constraints Symmetry constrained systems anomalies complex polarization cohomologies kähler structures |
| title | BRST Cohomologies of Mixed and Second Class Constraints |
| title_full | BRST Cohomologies of Mixed and Second Class Constraints |
| title_fullStr | BRST Cohomologies of Mixed and Second Class Constraints |
| title_full_unstemmed | BRST Cohomologies of Mixed and Second Class Constraints |
| title_short | BRST Cohomologies of Mixed and Second Class Constraints |
| title_sort | brst cohomologies of mixed and second class constraints |
| topic | constrained systems anomalies complex polarization cohomologies kähler structures |
| url | https://www.mdpi.com/2073-8994/12/3/428 |
| work_keys_str_mv | AT zbigniewhasiewicz brstcohomologiesofmixedandsecondclassconstraints AT janlcieslinski brstcohomologiesofmixedandsecondclassconstraints |