Normal ordering and boundary conditions in open bosonic strings

Details Normal ordering and boundary conditions in open bosonic strings Normal ordering and boundary conditions in open bosonic strings

2004-12-07

arxiv.org/abs/hep-th/0412075v3

J.Math.Phys.46:062302,2005

Physics

High Energy Physics

High Energy Physics - Theory

7 pages no figures, References added

Scientific paper

10.1063/1.1914727

Boundary conditions play a non trivial role in string theory. For instance the rich structure of D-branes is generated by choosing appropriate combinations of Dirichlet and Neumann boundary conditions. Furthermore, when an antisymmetric background is present at the string end-points (corresponding to mixed boundary conditions) space time becomes non-commutative there. We show here how to build up normal ordered products for bosonic string position operators that satisfy both equations of motion and open string boundary conditions at quantum level. We also calculate the equal time commutator of these normal ordered products in the presence of antisymmetric tensor background.

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