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arXiv · hep-th/0003160

Noncommutative Solitons

Rajesh Gopakumar·Shiraz Minwalla·Andrew Strominger
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Abstract

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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Rajesh Gopakumar, Shiraz Minwalla, Andrew Strominger. 2000-05-05. Noncommutative Solitons. https://doi.org/10.1088/1126-6708%2F2000%2F05%2F020

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