Theoretical and Mathematical Physics

, Volume 180, Issue 2, pp 942–957 | Cite as

Algebraic aspects of gauge theories

  • V. V. Zharinov


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.


derivation principal fiber bundle covariant derivative gauge Yang-Mills field Yang-Mills action gauge invariance moduli space 


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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Steklov Mathematical InstituteRASMoscowRussia

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