Symmetry in Theoretical and Mathematical Physics

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (29 February 2020) | Viewed by 2045

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Institute for Nuclear Research and Nuclear Energy Bulgarian Academy of Sciences, Sofia, Bulgaria

Special Issue Information

Dear Colleagues,

The Special issue “Symmetry in Theoretical and Mathematical Physics” will attempt to cover the whole field of Symmetry in its widest sense, together with its applications in many facets of physics. As interface between mathematics and physics, the Special Issue should serve as a meeting place for mathematicians and theoretical and mathematical physicists.

Prof. Vladimir Dobrev
Guest Editor

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Published Papers (1 paper)

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Research

15 pages, 303 KiB  
Article
BRST Cohomologies of Mixed and Second Class Constraints
by Zbigniew Hasiewicz and Jan L. Cieśliński
Symmetry 2020, 12(3), 428; https://doi.org/10.3390/sym12030428 - 6 Mar 2020
Viewed by 1777
Abstract
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. [...] Read more.
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. Full article
(This article belongs to the Special Issue Symmetry in Theoretical and Mathematical Physics)
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