Quark model of superconducting type and nondiagonal $P$–$A$ transitions

In the quark model of a superconductor type the problem of arising of the nonphysical vertices for the low energy interaction between the low mesons connected with the spontaneous breaking of a chiral symmetry and a $P$–$A$ diagonalization under the usual construction of the effective chiral Lagrangian is considered. The prescriptive problem solution is proposed. It is based on the Pauli–Willars regularization of the quark diagrams describing the vertices for the low energy meson interaction arised due to $P$–$A$ diagonalization. It is necessary to use the regularization because of the ambiguity of the calculation of some quark diagrams describing the new interaction vertices.