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String fields as limit of functions and surface terms in string field theory

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String fields as limit of functions and surface terms in string field theory

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Bordes Villagrasa, José M.; Lizzi, Fedele

This document is a artículoDate1989

We consider the String Field Theory proposed by Witten in the discretized approach, where the string is considered as the limit N → ∞ of a collection of N points. In this picture the string functional is the limit of a succession of functions of an increasing number of variables; an object with some resemblances to distributions. Attention is drawn to the fact that the convergence is not of the uniform kind, and that therefore exchanges of limits, sums and integral signs can cause problems, and be ill defined. In this context we discuss some surface terms found by Woodard, which arise in integrations by parts, and argue that they depend crucially on the choice of the successions of function used to define the identity and vertices of the theory.

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