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Pis'ma v Zh. Èksper. Teoret. Fiz., 2017, Volume 105, Issue 4, Pages 205–208 (Mi jetpl5190)  

This article is cited in 6 scientific papers (total in 6 papers)

FIELDS, PARTICLES, AND NUCLEI

Axial-vector mesons and the problem of $\pi a_1$ mixing

M. K. Volkov, A. A. Osipov

Joint Institute for Nuclear Research, Dubna, Moscow region, Russia

Abstract: In the framework of the Nambu–Jona–Lasinio (NJL) model, a mechanism for eliminating the off-diagonal $\pi a_1$ transitions from the effective meson Lagrangian is investigated. The problem is considered in the oneloop approximation for the quark loops. We employ the minimal superposition linear in the fields, $a_\mu' =a_\mu - c\partial_\mu\pi$, and show that the covariant transformation properties of both the axial-vector and vector physical fields are affected by this substitution. Contrary to some claims found in the literature, we demonstrate that the discussed change in covariant transformation properties of these fields does not result in various violations of chiral symmetry, but rather reduces to a redefinition of the $S$-matrix elements beyond the mass shell. At the same time, the covariant and noncovariant approaches yield identical on-shell results.

DOI: https://doi.org/10.7868/S0370274X17040014

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English version:
Journal of Experimental and Theoretical Physics Letters, 2017, 105:4, 215–218

Bibliographic databases:

Document Type: Article
Received: 30.11.2016

Citation: M. K. Volkov, A. A. Osipov, “Axial-vector mesons and the problem of $\pi a_1$ mixing”, Pis'ma v Zh. Èksper. Teoret. Fiz., 105:4 (2017), 205–208; JETP Letters, 105:4 (2017), 215–218

Citation in format AMSBIB
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\by M.~K.~Volkov, A.~A.~Osipov
\paper Axial-vector mesons and the problem of $\pi a_1$ mixing
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2017
\vol 105
\issue 4
\pages 205--208
\mathnet{http://mi.mathnet.ru/jetpl5190}
\crossref{https://doi.org/10.7868/S0370274X17040014}
\elib{http://elibrary.ru/item.asp?id=28367909}
\transl
\jour JETP Letters
\yr 2017
\vol 105
\issue 4
\pages 215--218
\crossref{https://doi.org/10.1134/S0021364017040142}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85017958599}


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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. Morais J., Hiller B., Osipov A.A., “A General Framework to Diagonalize Vector-Scalar and Axial-Vector-Pseudoscalar Transitions in the Effective Meson Lagrangian”, Phys. Lett. B, 773 (2017), 277–282  crossref  zmath  isi
    2. Osipov A.A., Volkov M.K., “Chiral Transformations of Spin-1 Mesons in the Non-Symmetric Vacuum”, Ann. Phys., 382 (2017), 50–63  crossref  mathscinet  zmath  isi
    3. Morais J., Hiller B., Osipov A.A., “Masses of the Lowest Spin-0 and Spin-1 Meson Nonets: Explicit Symmetry Breaking Effects”, Phys. Rev. D, 95:7 (2017), 074033  crossref  isi
    4. Volkov M.K., Pivovarov A.A., Osipov A.A., “Tau -> F(1) (1285)Pi(-)Nu(Tau) Decay in the Extended Nambu-Jona-Lasinio Model”, Eur. Phys. J. A, 54:4 (2018), 61  crossref  isi
    5. Osipov A.A., Khalifa M.M., “Electromagnetic Interactions of Mesons Induced By Axial-Vector-Pseudoscalar Mixing”, Phys. Rev. D, 98:3 (2018), 036023  crossref  isi  scopus
    6. A. A. Osipov, “Electromagnetic interactions of mesons and the $\pi a_1$ diagonalization”, JETP Letters, 108:3 (2018), 161–164  mathnet  crossref  crossref  isi
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
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