Abstract
The dual model is generally factorized using Lorentz oscillators with ghost (or negativenorm) states arising from the indefinite metric (). Here all ghost states are proven to decouple for unit Regge intercept () as a consequence of the Virasoro gauges (). By reformulating vertices in light-cone variables and exploiting the local commutators (for , ) on the Koba-Nielson circle, the spectrum-generating algebra (, ) is found that commutes with all the gauges . All physical states are explicitly constructed. The noghost theorem follows from the remarkable isomorphism of the transverse generators () of Del Giudice, Di Vecchia, and Fubini to the original oscillators , , and the isomorphism (up to numbers) of the longitudinal generators with the conformal group generators , . Increasing the number of spatial oscillators (, ), one observes a critical dimension . For ghosts appear, for there are no ghosts, and gives the null states postulated by Brower and Thorn. But for , all correspond to null states, so that the second-order Pomeranchukon is precisely a Regge pole () as proposed by Lovelace.
- Received 12 May 1972
DOI:https://doi.org/10.1103/PhysRevD.6.1655
©1972 American Physical Society