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Algebra of gauge theories

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Abstract

We present a further development of the algebraic aspect of gauge theories initiated in our previous papers.

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References

  1. V. V. Zharinov, “Algebraic aspects of gauge theories,” Theor. Math. Phys., 180, 942–957 (2014).

    Article  MathSciNet  Google Scholar 

  2. V. V. Zharinov, “Analysis in algebras and modules,” Proc. Steklov Inst. Math., 301, 98–108 (2018).

    Article  MathSciNet  Google Scholar 

  3. V. V. Zharinov, “Analysis in differential algebras and modules,” Theor. Math. Phys., 196, 939–956 (2018).

    Article  MathSciNet  Google Scholar 

  4. V. V. Zharinov, “Analysis in noncommutative algebras and modules,” Proc. Steklov Inst. Math., 306, 90–101 (2019).

    Article  MathSciNet  Google Scholar 

  5. S. Mac Lane, Categories for the Working Mathematician (Grad. Texts Math., Vol. 5), Springer, New York (1998).

  6. S. Mac Lane, Homology (Grundlehren Math. Wiss., Vol. 114), Springer, Berlin (1963).

  7. C. McLarty, Elementary Categories, Elementary Toposes, Clarendon, Oxford (2005).

    MATH  Google Scholar 

  8. A. A. Slavnov and L. D. Faddeev, Introduction to the Quantum Theory of Gauge Fields [in Russian], Nauka, Moscow (1978); English transi.: L. D. Faddeev and A. A. Slavnov Gauge Fields: Introduction to Quantum Theory (Frontiers Phys., Vol. 50), Benjamin/Cummings, Reading, Mass. (1980).

  9. K. B. Marathe and G. Martucci, The Mathematical Foundations of Gauge Theories (Stud. Math. Phys., Vol. 5), North-Holland, Amsterdam (1992).

  10. S. P. Novikov and I. A. Taimanov, Modern Geometric Structures and Fields [in Russian], MTsNMO, Moscow (2005); English transi. (Grad. Stud. Math., Vol. 71), Amer. Math. Soc, Providence, R. I. (2006).

    Google Scholar 

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, 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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Conflicts of interest. The author declares no conflicts of interest.

Additional information

Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 203, No. 2, pp. 179–191, May, 2020.

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Zharinov, V.V. Algebra of gauge theories. Theor Math Phys 203, 584–595 (2020). https://doi.org/10.1134/S0040577920050025

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  • DOI: https://doi.org/10.1134/S0040577920050025

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