Noncommutative Solitons

Details Noncommutative Solitons Noncommutative Solitons

2000-03-17

arxiv.org/abs/hep-th/0003160v2

JHEP 0005:020,2000

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, Harvmac

Scientific paper

10.1088/1126-6708/2000/05/020

We find classically stable solitons (instantons) in odd (even) dimensional scalar noncommutative field theories whose scalar potential, $V(\ph)$, has at least two minima. These solutions are bubbles of the false vacuum whose size is set by the scale of noncommutativity. Our construction uses the correspondence between non-commutative fields and operators on a single particle Hilbert space. In the case of noncommutative gauge theories we note that expanding around a simple solution shifts away the kinetic term and results in a purely quartic action with linearly realised gauge symmetries.

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