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 Zap. Nauchn. Sem. POMI, 2005, Volume 325, Pages 5–12 (Mi znsl347)

Renormalization of the quantum equation of motion for Yang–Mills fields in background formalism

A. A. Bagaev

Saint-Petersburg State University

Abstract: The aim of this work is to compare renormalizations of the infinite parts of the Effective Action and Quantum Equation of Motion in gauge fields theory with $SU(N)$ as a structural group in the One-Loop Approach and to make sure that they do not coincide. To this end, we use the Background Formalism, in which a gauge field is decomposed into the sum of a classical (background) and a quantum field: $A=B+gQ$. The appearance of an additional factor, which provides the recovery of the equality of renormalizations of Equations and Action, is explained with the help of comparison with results of the standard renormalization theory of Yang–Mills fields.

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English version:
Journal of Mathematical Sciences (New York), 2006, 138:3, 5631–5635

Bibliographic databases:

UDC: 517

Citation: A. A. Bagaev, “Renormalization of the quantum equation of motion for Yang–Mills fields in background formalism”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XII, Zap. Nauchn. Sem. POMI, 325, POMI, St. Petersburg, 2005, 5–12; J. Math. Sci. (N. Y.), 138:3 (2006), 5631–5635

Citation in format AMSBIB
\Bibitem{Bag05} \by A.~A.~Bagaev \paper Renormalization of the quantum equation of motion for Yang--Mills fields in background formalism \inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~XII \serial Zap. Nauchn. Sem. POMI \yr 2005 \vol 325 \pages 5--12 \publ POMI \publaddr St.~Petersburg \mathnet{http://mi.mathnet.ru/znsl347} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2160301} \zmath{https://zbmath.org/?q=an:1079.81047} \transl \jour J. Math. Sci. (N. Y.) \yr 2006 \vol 138 \issue 3 \pages 5631--5635 \crossref{https://doi.org/10.1007/s10958-006-0331-3} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748653994} 

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This publication is cited in the following articles:
1. A. A. Bagaev, “Note on renormalization of quantum equation of motion for matrix sigma-model”, J. Math. Sci. (N. Y.), 151:2 (2008), 2813–2815
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