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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 180, Number 2, Pages 217–233
DOI: https://doi.org/10.4213/tmf8691 (Mi tmf8691) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Algebraic aspects of gauge theories

V. V. Zharinov

Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia
Full-text PDF (482 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf8691
Abstract: Gauge theories are primary tools in modern elementary particle physics. The generally recognized mathematical foundations of these theories are in differential geometry, namely, in the theory of connections in a principal fiber bundle. We propose another approach to the mathematical description of gauge theories based on a combination of algebraic and geometric methods.
Keywords: derivation, principal fiber bundle, covariant derivative, gauge, Yang–Mills field, Yang–Mills action, gauge invariance, moduli space.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00065
Received: 02.02.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 180, Issue 2, Pages 942–957
DOI: https://doi.org/10.1007/s11232-014-0190-x
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Zharinov, “Algebraic aspects of gauge theories”, TMF, 180:2 (2014), 217–233; Theoret. and Math. Phys., 180:2 (2014), 942–957
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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