Bosonic String and String Field Theory: a solution using Ultradistributions of Exponential Type

TL;DR

This paper demonstrates that Ultradistributions of Exponential Type provide a consistent framework for describing string and string field theories, introducing a new Lagrangian and analyzing string field propagators.

Contribution

It introduces a novel approach using ultradistributions of exponential type for string theory, deriving a new Lagrangian and analyzing string field propagators.

Findings

New Lagrangian equivalent to Nambu-Goto's

String field as superposition of CUETs

Computed string field propagator and convolution

Abstract

In this paper we show that Ultradistributions of Exponential Type (UET) are appropriate for the description in a consistent way string and string field theories. A new Lagrangian for the closed string is obtained and shown to be equivalent to Nambu-Goto's Lagrangian. We also show that the string field is a linear superposition of UET of compact support CUET). We evaluate the propagator for the string field, and calculate the convolution of two of them.