Normal ordering and boundary conditions in open bosonic strings

Boundary conditions play a nontrivial 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 t...

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Bibliographic Details
Published in:Journal of mathematical physics 2005-06, Vol.46 (6), p.062302-062302-5
Main Authors: Braga, Nelson R. F., Carrion, Hector L., Godinho, Cresus F. L.
Format: Article
Language:English
Subjects:
BOUNDARY CONDITIONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COMMUTATION RELATIONS
COMMUTATORS
EQUATIONS OF MOTION
Exact sciences and technology
Mathematical methods in physics
Mathematics
MEMBRANES
Physics
POSITION OPERATORS
Sciences and techniques of general use
SPACE-TIME
STRING MODELS
TENSORS
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Summary:Boundary conditions play a nontrivial 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 noncommutative 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 the quantum level. We also calculate the equal time commutator of these normal ordered products in the presence of an antisymmetric tensor background.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1914727