- Access by Xinjiang University
Linearly Rising Trajectories in an Infinite-Component Field Theory
Phys. Rev. D 2, 793 – Published 15 August, 1970
DOI: https://doi.org/10.1103/PhysRevD.2.793
Abstract
We analyze a particular set of infinite-component wave equations from a non-group-theoretical point of view for the purpose of constructing a field theory. Using difference-equation techniques, we are able to study equations with much more general mass spectra than group theory would allow. We solve one equation exactly (corresponding to an equation previously solved group theoretically) and go on to analyze a model of the trajectory which is asymptotically linear. As expected, a ghost appears in the theory, but we are able to modify the equation in a simple way and cause the ghost to disappear.
References (7)
- G. Veneziano, Nuovo Cimento 57A, 190 (1968) K. Kikkawa, B. Sakita, and M. A. Virasoro, Phys. Rev. 184, 1701 (1969)
- H. D. I. Abarbanel and Y. Frishman, Phys. Rev. 171, 1442 (1968) H. D. I. Abarbanel (unpublished)
- Y. Nambu, Progr. Theoret. Phys. (Kyoto) Suppls. 37-38, 368 (1966) Phys. Rev. 160, 1171 (1967) C. Fronsdal, ibid. 156, 1653 (1967) ibid.156, 1665 (1967) ibid.171, 1811 (1968) A. O. Barut, Dennis Corrigan, and Hagen Kleinert, ibid. 167, 1527 (1968) R. Casalbuoni, R. Gatto, and G. Longhi, Nuovo Cimento Letters 2, 159 (1969) H. Leutwyler, Phys. Letters 31B, 214 (1970)
- R. F. Dashen and M. Gell-Mann, Phys. Rev. Letters 17, 340 (1966) Shau-Jin Chang, Roger Dashen, and L. O'Raifeartaigh, Phys. Rev. 182, 1805 (1969) ibid.182, 1819 (1969)
- A. Chodos, Phys. Rev. D 1, 2937 (1970)
- S. Weinberg, Phys. Rev. 133, B1318 (1964)
- Y. Nambu, Progr. Theoret. Phys. (Kyoto) Suppls. 37-38, 368 (1966)