BRST Cohomologies of Mixed and Second Class Constraints

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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Bibliographic Details
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
Description
Summary: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.
ISSN:2073-8994

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