The invariant charges of the Nambu-Goto String and Canonical Quantization

TL;DR

This paper demonstrates that the algebra of diffeomorphism-invariant charges in the Nambu-Goto string cannot be quantized using canonical methods, regardless of the spacetime dimension.

Contribution

It provides a dimension-independent proof that canonical quantization cannot be applied to the algebra of invariant charges in the Nambu-Goto string.

Findings

Canonical quantization fails for the algebra of invariant charges

The proof is independent of the Minkowski space dimension

Highlights limitations of canonical quantization in string theory

Abstract

It is shown that the algebra of diffeomorphism-invariant charges of the Nambu-Goto string cannot be quantized in the framework of canonical quantization. The argument is shown to be independent of the dimension of the underlying Minkowski space.