String theory in Lorentz-invariant light cone gauge - II

TL;DR

This paper develops a Lorentz-invariant quantization of 4D open string theory in light cone gauge, avoiding anomalies and analyzing the mass spectrum for spin singlet states.

Contribution

It introduces a novel gauge fixing in oscillator sector that simplifies Hamiltonian mechanics and ensures anomaly-free Lorentz invariance in string quantization.

Findings

Achieved anomaly-free Lorentz-invariant quantization of 4D open string.

Derived the mass spectrum for spin singlet S=0 states.

Provided insights into algebraic and geometric properties of the quantized theory.

Abstract

We perform a quantization of 4-dimensional Nambu-Goto theory of open string in light cone gauge, related in Lorentz-invariant way with the world sheet. This allows to obtain a quantum theory without anomalies in Lorentz group. We consider a special type of gauge fixing conditions, imposed in oscillator sector of the theory, which lead to a relatively simple Hamiltonian mechanics, convenient for canonical quantization. We discuss the algebraic and geometric properties of this mechanics and determine its mass spectrum for the states of spin singlet S=0.