The anomaly-free quantization of two-dimensional relativistic string. I

TL;DR

This paper constructs an anomaly-free quantum theory for a two-dimensional relativistic string, revealing that its states resemble those of a massless chiral particle, achieved through a novel generalization of quantum field operators.

Contribution

It introduces a new method to quantize two-dimensional relativistic strings without anomalies, expanding the understanding of string states in lower-dimensional quantum theories.

Findings

Successfully constructs an anomaly-free quantum string theory in 2D.

Shows string states are similar to massless chiral particles.

Generalizes the concept of operators in quantum field theory.

Abstract

An anomaly-free quantum theory of a relativistic string is constructed in two-dimensional space-time. The states of the string are found to be similar to the states of a massless chiral quantum particle. This result is obtained by generalizing the concept of an ``operator'' in quantum field theory.