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arxiv: hep-th/0011090 · v2 · submitted 2000-11-13 · ✦ hep-th · hep-lat· math-ph· math.MP

Brane Vacuum as Chain of Rotators

classification ✦ hep-th hep-latmath-phmath.MP
keywords modelnoncommutativechainrotatorssphericallysymmetricvacuumanalyse
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We analyse the noncommutative U(1) sigma model, which arises from the vacuum dynamics of the noncommutative charged tachyonic field. The sector of ``spherically symmetric'' excitations of the model is equivalent to a chain of rotators. Classical solutions for this model are found, which are static and ``spherically symmetric'' in noncommutative spatial dimensions. The limit of small noncommutativity reveals the presence of Polyakov vortices in the model. A generalisation of the model to q-deformed space, which may serve as a regularisation of the non-deformed model is also considered.

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