On a possibility to construct gauge invariant quantum formulation for non-gauge classical theory

TL;DR

This paper explores how to construct a gauge-invariant quantum formulation from a non-gauge classical system by identifying specific parameter values, with applications to string theory.

Contribution

It introduces a method to achieve gauge invariance in quantum theories derived from non-gauge classical systems by parameter selection.

Findings

Parameters can be chosen to ensure gauge invariance in quantized theories.

Derived equations identify parameter values for gauge invariance.

Applied method to string theory, specifically tachyon background fields.

Abstract

A non-gauge dynamical system depending on parameters is considered. It is shown that these parameters can have such values that corresponding canonically quantized theory will be gauge invariant. The equations allowing to find these values of parameters are derived. The prescription under consideration is applied to obtaining the equation of motion for tachyon background field in closed bosonic string theory.