Canonical Quantization of Open String and Noncommutative Geometry

Details Canonical Quantization of Open String and Noncommutative Geometry Canonical Quantization of Open String and Noncommutative Geometry

1999-11-18

arxiv.org/abs/hep-th/9911140v2

Phys.Rev. D62 (2000) 024022

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, RevTex, added references

Scientific paper

10.1103/PhysRevD.62.024022

We perform canonical quantization of open strings in the $D$-brane background with a $B$-field. Treating the mixed boundary condition as a primary constraint, we get a set of secondary constraints. Then these constraints are shown to be equivalent to orbifold conditions to be imposed on normal string modes. These orbifold conditions are a generalization of the familiar orbifold conditions which arise when we describe open strings in terms of closed strings. Solving the constraints explicitly, we obtain a simple Hamiltonian for the open string, which reveals the nature of noncommutativity transparently.

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