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, , 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