Non-commutative solitons

Abstract

We find classically stable solitons (instantons) in odd (even) dimensional scalar non-commutative 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 non-commutative 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.