String theory in Lorentz-invariant light cone gauge - III

TL;DR

This paper completes the quantization of Nambu-Goto open string theory in four-dimensional spacetime, analyzing Gribov copies and determining the quantum mass spectrum for arbitrary spins, advancing understanding of string theory in Lorentz-invariant light cone gauge.

Contribution

It provides a detailed study of Gribov copies and derives the quantum mass spectrum for arbitrary spins in the context of string theory in four dimensions.

Findings

Analysis of Gribov's copies in classical mechanics

Determination of quantum mass spectrum for arbitrary spin

Completion of Dirac's quantization in this framework

Abstract

This paper completes the work, initiated in [hep-th/9906003,hep-th/0301204], further referred as Parts I and II, concerning to Dirac's quantization of Nambu-Goto theory of open string, formulated in the space-time of dimension d=4. Here we perform more detailed study of Gribov's copies in the classical mechanics and determine the quantum spectrum of masses for the arbitrary spin case.