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Noncommutativity in open string: new results in a gauge-independent analysis

2002/03/31 by Rabin Banerjee, Biswajit Chakraborty, Subir Ghosh · 29 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Conformal map #Gauge (firearms) #Gauge boson #Gauge fixing #Gauge theory #Hamiltonian (control theory) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Open string #Physics #Quantum mechanics #String (physics) #String field theory #Theoretical physics #hep-th

paper · pdf · doi:10.1016/s0370-2693(02)01944-5

published in Physics Letters B 537(3-4), 340-350 (Elsevier BV) · 17 pages, LaTex, no figures; title changed; marginal modifications in text; new refs. included; version to appear in Phys. Lett. B

arxiv created 2002/05/10 · openalex publication_date 2002/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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