  Two problems of the Standard Model, associated with the introduction of
non-gauge interactions and with the introduction of an electromagnetic field as
a linear combination of fields on which various gauge groups are implemented,
are analyzed. It is noticed that the existing model contains $U\left( 1
\right)-$ phase uncertainty of the matrix elements of the raising and lowering
generators of the $SU\left( 2 \right)$ group. This uncertainty creates the
condition for the additional local $U\left( 1 \right)-$ symmetry of the
Standard Model Lagrangian with respect to the choice of various equivalent
generator representations of the $SU\left( 2 \right)$ group, which is provided
by the electromagnetic field. In this case, due to the different action of the
raising and lowering generators on the fields of each generation of leptons and
quarks, these fields interact with the electromagnetic field in different ways.
It is also shown that considering the multi-particle gauge field a description
of the Higgs mechanism can be obtained, free from the shortcomings of the
well-known single-particle description, the main of which is the introduction
of the non-gauge "phi-four" interaction, that is not reduced to the fundamental
one. In the proposed model, the spontaneous symmetry breaking is achieved due
to the same fundamental interaction, the mediating particle mass of which it
provides.
