An illustration of chiral fermions on a 1+1 dimensional lattice
| dc.creator | Xue, She-Sheng | |
| dc.date | 2000-06-26 | |
| dc.date.accessioned | 2026-07-07T03:38:19Z | |
| dc.date.available | 2026-07-07T03:38:19Z | |
| dc.description | The vectorlike doubling of low-energy excitations is in fact a natural consequence of the pair-production around the zero-energy (E=0) due to the quantum field fluctuations of the lattice regularized vacuum. On the 1+1 dimensional lattice, we study an anomaly-free chiral model (11112) of four left-movers and one right-mover with strong interactions. Exact computations of relevant S-matrices illustrate that for high-momentum states, a negative energy-gap (E<0) develops; the bound state and its constituents, which have the same quantum numbers but opposite chiralities, fill the same energy-state so that chiral symmetries are preserved; for low-momentum states, the negative energy-gap vanishes and the bound state dissolves into its constituents near zero energy. As a consequence of the gauge-anomaly cancellation and the index theorem for flavor-singlet anomalies, the net number of zero-modes pushed down into and pumped out from the zero-energy level by the gauge field is zero. | |
| dc.description | 11 pages Revtex | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0006024 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0006024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/38486 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | An illustration of chiral fermions on a 1+1 dimensional lattice | |
| dc.type | text |