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Algebraic aspects of gauge theories

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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.

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Authors and Affiliations

  1. Steklov Mathematical Institute, RAS, Moscow, Russia

    V. V. Zharinov

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  1. V. V. Zharinov
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Correspondence to V. V. Zharinov.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 180, No. 2, pp. 217–233, August, 2014.

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Zharinov, V.V. Algebraic aspects of gauge theories. Theor Math Phys 180, 942–957 (2014). https://doi.org/10.1007/s11232-014-0190-x

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  • DOI: https://doi.org/10.1007/s11232-014-0190-x

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