Generalized canonical quantization of bosonic string model in massive background fields

TL;DR

This paper develops a canonical gauge invariant quantization method for bosonic strings interacting with massive background fields, resulting in correct equations of motion for these fields.

Contribution

It introduces a new canonical gauge invariant quantization approach applicable to string theories with massive backgrounds, ensuring correct background field equations.

Findings

Correct linear equations of motion for background fields derived

New gauge invariant quantization method proposed

Applicable to non-gauge classical theories with parameters

Abstract

A method of constructing a canonical gauge invariant quantum formulation for a non-gauge classical theory depending on a set of parameters is advanced and then applied to the theory of closed bosonic string interacting with massive background fields. It is shown that within the proposed formulation the correct linear equations of motion for background fields arise.