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Journal of Physical Studies 22(3), Article 3001 [15 pages] (2018)
DOI: https://doi.org/10.30970/jps.22.3001 MULTI-PARTICLE FIELDS AND HIGGS MECHANISMK. K. Merkotan, T. M. Zelentsova, N. O. Chudak, D. A. Ptashynskiy, V. V. Urbanevich, O. S. Potiienko, V. V. Voitenko, O. D. Berezovskyi, I. V. Sharph, V. D. Rusov
Odessa National Polytechnic University, 1, Shevchenko Ave., Odessa, UA-65044, Ukraine |
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The paper draws attention to some theoretical problems of the Standard Model. In particular, the ``phi-four'' self-action of the Higgs field in the Standard Model is not a consequence of the derivatives ``extension'' in order to localize some symmetry. The same applies to the Yukawa interaction of the fermion fields with the Higgs field. The only manifestation of such interactions which are being discussed is the mass generation by particles of the Standard Model. Therefore it is unclear how the existence of such interactions can be confirmed experimentally. In the paper, it is proposed to consider the Higgs boson as a bound state of two gauge bosons and describe it by the multi-particle fields method [13, 14]. Within this approach, the self-action of the Higgs field is the consequence of the self-action of a non-Abelian gauge field, i.e. it is not a manifestation of a ``new'' non-gauge interaction. Unfortunately, within the proposed approach it is impossible to describe the Yukawa interaction in a similar way. Moreover, the ``unnatural'' sign in the Lagrangian under the squared Higgs field is not postulated as in the Standard Model, but it is the result of the dynamic equations of the two-particle gauge field. Therefore a physical interpretation of the spontaneous symmetry breaking is proposed by analogy with the phenomenon of the critical condensation. The bound state of two gauge bosons is described by the two-particle gauge field that takes values on the linear space of weak-isospin second rank tensors. Under the global group $SU(2)$-transformations, this linear space can be decomposed into a direct sum of invariant subspaces: tensors multiple of unit tensor, antisymmetric and symmetric tensors with zero trace. If we write the Lagrangians of these fields, the local $SU(2)$-symmetry of these Lagrangians will be achieved by the derivatives ``extension''. Thus, the interaction of irreducible tensor fields with the Higgs field can be introduced. It is shown that the interaction of the antisymmetric part of the field with the gauge field contributes to the mass of $W^\pm$-bosons, and the interaction of the symmetric part with a zero trace with the gauge field contributes to the mass of all three gauge bosons, as $W^\pm$ and $Z^0$-bosons. Hence the parameters of the model can be given that the $Z^0$-boson mass will be greater than the mass of the $W^\pm$-bosons, as required by the experiment.
PACS number(s): 03.30.+p, 03.65.-w