Noncommutativity in open string: New results in a gauge independent analysis

TL;DR

This paper investigates noncommutativity in open strings within a gauge independent Hamiltonian framework, revealing it as a consequence of boundary conditions and showing its persistence along the string, with results aligning with known boundary-specific noncommutativity in the conformal gauge.

Contribution

It introduces a gauge independent Hamiltonian approach to analyze noncommutativity, treating boundary conditions as non-constraint conditions, and extends understanding of noncommutativity beyond boundary points.

Findings

Noncommutativity arises from boundary conditions, not as constraints.

Noncommutativity persists along the entire string length.

Results reduce to boundary-only noncommutativity in conformal gauge.

Abstract

Noncommutativity in an open string moving in a background Neveu-Schwarz field is investigated in a gauge independent Hamiltonian approach, leading to new results. The noncommutativity is shown to be a direct consequence of the non-trivial boundary conditions, which, contrary to several approaches, are not treated as constraints. We find that the noncommutativity persists for all string points. In the conformal gauge our results reduce to the usual noncommutativity at the boundaries only.