Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-02-06
JHEP 0704:037,2007
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, 3 eps figures. v2: published version, analytic solution added
Scientific paper
10.1088/1126-6708/2007/04/037
We present new solutions of noncommutative gauge theories in which coincident unstable vortices expand into unstable circular shells. As the theories are noncommutative, the naive definition of the locations of the vortices and shells is gauge-dependent, and so we define and calculate the profiles of these solutions using the gauge-invariant noncommutative Wilson lines introduced by Gross and Nekrasov. We find that charge 2 vortex solutions are characterized by two positions and a single nonnegative real number, which we demonstrate is the radius of the shell. We find that the radius is identically zero in all 2-dimensional solutions. If one considers solutions that depend on an additional commutative direction, then there are time-dependent solutions in which the radius oscillates, resembling a braneworld description of a cyclic universe. There are also smooth BIon-like space-dependent solutions in which the shell expands to infinity, describing a vortex ending on a domain wall.
Bouatta Nazim
Evslin Jarah
Maccaferri Carlo
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