On the Construction of S-matrix in Lagrangian Formalism

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Abstract
Some differential equations with respect to a coupling constant g are written down in Lagrangian formalism. By integrating these equations S-matrix can be derived in two different forms; one is expressed in terms of the chronological symbol T* (or P*); the other in terms of T (or P). This way of consideration is applied to the system of local fields with non-local interactions. According to the result thus obtained, it seems necessary to make a further investigation on a new condition which ensures the existence of S-matrix.

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