Noncommutative Scalar Solitons at Finite $θ$
| dc.creator | Zhou, Chen-Gang | |
| dc.date | 2000-07-31 | |
| dc.date.accessioned | 2026-07-07T04:10:16Z | |
| dc.date.available | 2026-07-07T04:10:16Z | |
| dc.description | We investigate the behavior of the noncommutative scalar soliton solutions at finite noncommutative scale $θ$. A detailed analysis of the equation of the motion indicates that fewer and fewer soliton solutions exist as $θ$ is decreased and thus the solitonic sector of the theory exhibits an overall hierarchy structure. If the potential is bounded below, there is a finite $θ_c$ below which all the solitons cease to exist even though the noncommutativity is still present. If the potential is not bounded below, for any nonzero $θ$ there is always a soliton solution, which becomes singular only at $θ= 0$. The $ϕ^4$ potential is studied in detail and it is found the critical $(θm^2)_c =13.92$ ($m^2$ is the coefficient of the quadratic term in the potential) is universal for all the symmetric $ϕ^4$ potential. | |
| dc.description | Harvmac, 16 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0007255 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0007255 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50159 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Noncommutative Scalar Solitons at Finite $θ$ | |
| dc.type | text |