Path Integral by Space-time Slicing Approximation In Open Bosonic String Field

TL;DR

This paper extends the Feynman path integral to open bosonic string fields by constructing a complete Fock space set, enabling quantization of string fields through a space-time slicing approximation.

Contribution

It introduces a novel method to apply the path integral to string field theory using space-time slicing and Fock space construction.

Findings

Successful quantization of open bosonic string field

Development of a space-time slicing approximation method

Extension of Feynman path integral to string field context

Abstract

In our paper, we considered how to apply the traditional Feynman path integral to string field. By constructing the complete set in Fock space of non-relativistic and relativistic open bosonic string fields, we extended Feynman path integral to path integral on functional field and use it to quantize open bosonic string field.