Bosonic String and String Field Theory: a solution using the holomorphic representation

TL;DR

This paper demonstrates that the holomorphic representation provides a consistent framework for finite-component string and string field theories, introducing a new Lagrangian for closed strings and exploring string interactions.

Contribution

It introduces a novel holomorphic representation approach for string field theory with finite components, deriving a new Lagrangian and analyzing string propagators.

Findings

New Lagrangian for closed string equivalent to Nambu-Goto's

Defined the concept of anti-string

Computed string field propagator and convolution

Abstract

In this paper we show that the holomorphic representation is appropriate for description in a consistent way string and string field theories, when the considered number of component fields of the string field is finite. A new Lagrangian for the closed string is obtained and shown to be equivalent to Nambu-Goto's Lagrangian. We give the notion of anti-string, evaluate the propagator for the string field, and calculate the convolution of two of them.