paper

Brane Vacuum as Chain of Rotators

arXiv:hep-th/0011090 · doi:10.1088/1126-6708/2000/12/022

Abstract

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.

14 pages, JHEP class, no figs, considerable revision of the motivational part, some improvement of text and references, accepted in JHEP

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