Nielsen-Olesen vortices in noncommutative abelian Higgs model | Zendy

Dileep P. Jatkar | Zendy; Gautam Mandal | Zendy; Spenta R. Wadia | Zendy

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Nielsen-Olesen vortices in noncommutative abelian Higgs model

Author(s) -

Dileep P. Jatkar,

Gautam Mandal,

Spenta R. Wadia

Publication year - 2000

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2000/09/018

Subject(s) - physics , noncommutative geometry , topological quantum number , higgs boson , tachyon , vortex , abelian group , noncommutative quantum field theory , d brane , quantum electrodynamics , gauge theory , brane , mathematical physics , theoretical physics , quantum mechanics , pure mathematics , mathematics , thermodynamics

We construct Nielsen-Olesen vortex solution in the noncommutative abelianHiggs model. We derive the quantized topological flux of the vortex solution.We find that the flux is integral by explicit computation in the large $\theta$limit as well as in the small $\theta$ limit. In the context of a tachyonvortex on the brane-antibrane system we demonstrate that it is this topologicalcharge that gives rise to the RR charge of the resulting BPS D-brane. We alsoconsider the left-right-symmetric gauge theory which does not have acommutative limit and construct an exact vortex solution in it.Comment: 24 pages, (v2) clarifying comments added regarding topological index using coherent states; n-vortex solution added; version to appear in JHE

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