Open string with a background B-field as the first order mechanics and noncommutativity

dc.creatorDeriglazov, A. A.
dc.creatorNeves, C.
dc.creatorOliveira, W.
dc.date2001-10-19
dc.date.accessioned2026-07-07T04:12:33Z
dc.date.available2026-07-07T04:12:33Z
dc.descriptionTo study noncommutativity properties of the open string with constant B-field we construct a mechanical action which reproduces classical dynamics of the string sector under consideration. It allows one to apply the Dirac quantization procedure for constrained systems in a direct and unambiguous way. The mechanical action turns out to be the first order system without taking the strong field limit $B\longrightarrow\infty$. In particular, it is true for zero mode of the string coordinate which means that the noncommutativity is intrinsic property of this mechanical system. We describe the arbitrariness in the relation existent between the mechanical and the string variables and show that noncommutativity of the string variables on the boundary can be removed. It is in correspondence with the result of Seiberg and Witten on relation among noncommutative and ordinary Yang-Mills theories.
dc.description9 pages, no figures, Latex file
dc.identifierhttps://arxiv.org/abs/hep-th/0110183
dc.identifierhttp://arxiv.org/abs/hep-th/0110183
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50938
dc.subjectHigh Energy Physics - Theory
dc.titleOpen string with a background B-field as the first order mechanics and noncommutativity
dc.typetext

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