Abstract

Abstract : In recent investigations concerning restrictions placed on Lagrangian field theories the positive definiteness of the spectral weight function was found to be crucial for the results obtained. This note indicates that the requirement of positive definiteness might be too strong. A model is considered of nucleons and pions with pseudo-scalar coupling and with the bare pion mass set equal to 0. The ensuing discussion implies that the condition of nonnegativeness on the spectral weight function is too strong for local Lagrangian theories. (Author)

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