Noncommutative Solitons

  title={Noncommutative Solitons},
  author={Rajesh Gopakumar and Shiraz Minwalla and Andrew Strominger},
We find classically stable solitons (instantons) in odd (even) dimensional scalar noncommutative field theories whose scalar potential, V (φ), 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… 

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