Fermions on one or fewer Kinks
| dc.creator | Chu, Yi-Zen | |
| dc.creator | Vachaspati, Tanmay | |
| dc.date | 2007-09-23 | |
| dc.date.accessioned | 2026-07-07T11:19:32Z | |
| dc.date.available | 2026-07-07T11:19:32Z | |
| dc.description | We find the full spectrum of fermion bound states on a Z_2 kink. In addition to the zero mode, there are int[2 m_f/m_s] bound states, where m_f is the fermion and m_s the scalar mass. We also study fermion modes on the background of a well-separated kink-antikink pair. Using a variational argument, we prove that there is at least one bound state in this background, and that the energy of this bound state goes to zero with increasing kink-antikink separation, 2L, and faster than e^{-a2L} where a = min(m_s, 2 m_f). By numerical evaluation, we find some of the low lying bound states explicitly. | |
| dc.description | 7 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/0709.3668 | |
| dc.identifier | http://arxiv.org/abs/0709.3668 | |
| dc.identifier | Phys.Rev.D77:025006,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.77.025006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/193715 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Fermions on one or fewer Kinks | |
| dc.type | text |