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TMF, 2014, Volume 180, Number 2, Pages 217–233 (Mi tmf8691)  

This article is cited in 3 scientific papers (total in 3 papers)

Algebraic aspects of gauge theories

V. V. Zharinov

Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia

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


DOI: https://doi.org/10.4213/tmf8691

Full text: PDF file (482 kB)
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English version:
Theoretical and Mathematical Physics, 2014, 180:2, 942–957

Bibliographic databases:

Document Type: Article
Received: 02.02.2014

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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  • http://mi.mathnet.ru/eng/tmf/v180/i2/p217

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. V. Zharinov, “Bäcklund transformations”, Theoret. and Math. Phys., 189:3 (2016), 1681–1692  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. V. V. Zharinov, “Analysis in algebras and modules”, Proc. Steklov Inst. Math., 301 (2018), 98–108  mathnet  crossref  crossref  isi  elib  elib
    3. V. V. Zharinov, “Analysis in differential algebras and modules”, Theoret. and Math. Phys., 196:1 (2018), 939–956  mathnet  crossref  crossref  adsnasa  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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