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Weyl group, CP and the kink-like field configurations in the effective SU(3) gauge theory

  • Physics of Elementary Particles and Atomic Nuclei. Theory
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Abstract

Effective Lagrangian for Yang-Mills gauge fields invariant under the standard space-time and local gauge SU(3) transformations is considered. It is demonstrated that a set of twelve degenerated minima exists as soon as a nonzero gluon condensate is postulated. The minima are connected to each other by the parity transformations and Weyl group transformations associated with the color su(3) algebra. The presence of degenerated discrete minima in the effective potential leads to the solutions of the effective Euclidean equations of motion in the form of the kink-like gauge field configurations interpolating between different minima. Spectrum of charged scalar field in the kink background is discussed.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Russia

    B. V. Galilo & S. N. Nedelko

  2. Department of Theoretical Physics, International University for-Nature, Society, and Man “Dubna”, Dubna, Russia

    B. V. Galilo

Authors
  1. B. V. Galilo
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  2. S. N. Nedelko
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Galilo, B.V., Nedelko, S.N. Weyl group, CP and the kink-like field configurations in the effective SU(3) gauge theory. Phys. Part. Nuclei Lett. 8, 67–72 (2011). https://doi.org/10.1134/S1547477111020051

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  • DOI: https://doi.org/10.1134/S1547477111020051

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