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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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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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description	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.
doi_str_mv	10.1063/1.1914727
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source	American Institute of Physics (AIP) Publications; American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list)
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
title	Normal ordering and boundary conditions in open bosonic strings
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