A method is given for calculating vertex functions involving three currents obeying chiral SU(2){} SU(2) commutation relations, without using soft-pion approximations. The procedure assumes one-particle dominance of intermediate states. The Weinberg sum rule emerges as a consequence of the vanishing of q-number Schwinger terms. The charge radius of the pion is obtained and is in agreement with existing data.
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Arnowitt et al. (1967) studied this question.
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