Non-commutative solitons

Citation
R. Gopakumar et al., Non-commutative solitons, J HIGH EN P, 2000(5), 2000, pp. NIL_376-NIL_402
Citations number
45
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Volume
2000
Issue
5
Year of publication
2000
Pages
NIL_376 - NIL_402
Database
ISI
SICI code
1029-8479(200005)2000:5<NIL_376:NS>2.0.ZU;2-A
Abstract
We find classically stable solitons (instantons) in odd (even) dimensional scalar non-commutative field theories whose scalar potential, V(phi), has a t least two minima. These solutions are bubbles of the false vacuum whose s ize is set by the scale of noncommutativity. Our construction uses the corr espondence between non-commutative fields and operators on a single particl e Hilbert space. In the case of non-commutative gauge theories we note that expanding around a simple solution shifts away the kinetic term and result s in a purely quartic action with linearly realised gauge symmetries.