Phenomenological Lagrangian for Field Algebra, Hard Pions, and Radiative Corrections

The phenomenological Lagrangian approach to the current-field algebra, and its advantages and defects, are discussed. The computational rules are stated, and justification is offered. Based on the phenomenological field-algebra Lagrangian, we consider the electromagnetic effects on the pion mass (for finite pion mass), the $\rho$-meson mass, and the pion $\beta$ decay.