It is shown that any nonlinear realization of $\mathrm{SU}\left(2\right)\mathrm{}\times \mathrm{SU}\left(2\right)\mathrm{}$ can be converted into a linear one of the type ($j, j$) by redefining the pion field. Explicit forms of the redefinition are derived for all values of $j$.

• Received 29 August 1969

DOI:https://doi.org/10.1103/PhysRev.188.2542