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...

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Main Authors:	Zbigniew Hasiewicz, Jan L. Cieśliński
Format:	Article
Language:	English
Published:	MDPI AG 2020-03-01
Series:	Symmetry
Subjects:	constrained systems anomalies complex polarization cohomologies kähler structures
Online Access:	https://www.mdpi.com/2073-8994/12/3/428

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spelling	doaj-7a211b2bc2d44b208b9a5ce29602e1422020-11-25T02:06:32ZengMDPI 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zbigniew Hasiewicz Jan L. Cieśliński
spellingShingle	Zbigniew Hasiewicz Jan L. Cieśliński BRST Cohomologies of Mixed and Second Class Constraints Symmetry constrained systems anomalies complex polarization cohomologies kähler structures
author_facet	Zbigniew Hasiewicz Jan L. Cieśliński
author_sort	Zbigniew Hasiewicz
title	BRST Cohomologies of Mixed and Second Class Constraints
title_short	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_sort	brst cohomologies of mixed and second class constraints
publisher	MDPI AG
series	Symmetry
issn	2073-8994
publishDate	2020-03-01
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.
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
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BRST Cohomologies of Mixed and Second Class Constraints

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