English

Noncommutative Solitons

High Energy Physics - Theory 2009-10-31 v2

Abstract

We find classically stable solitons (instantons) in odd (even) dimensional scalar noncommutative field theories whose scalar potential, V(\ph)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.

Keywords

Cite

@article{arxiv.hep-th/0003160,
  title  = {Noncommutative Solitons},
  author = {Rajesh Gopakumar and Shiraz Minwalla and Andrew Strominger},
  journal= {arXiv preprint arXiv:hep-th/0003160},
  year   = {2009}
}

Comments

27 pages, Harvmac