Constrained Quantization of Charged Strings in Background B Field and g-Factors

TL;DR

This paper performs Dirac quantization of charged open strings in a constant B field, revealing noncommutative geometry at the string ends and calculating the string's g-factor, highlighting the effects of background fields and charge differences.

Contribution

It introduces a quantization method for charged strings in a B field, showing noncommutativity and computing the g-factor within this framework.

Findings

Noncommutative commutators at string endpoints.

Dependence of noncommutativity on cyclotron frequency.

Calculated g-factor of the charged string.

Abstract

The Dirac quantization is performed for the constrained system of the open string with different charges located at both ends in the constant background B field. Noncommutativity reveals to commutators [X, X], [P, P] and also [X,P] at both ends of the string. We consider a dependence on the change of the "cyclotron frequency" of the charged string. The g-factor of the charged string is also calculated in the framework of our formulation.