Prog. Theor. Phys. Vol. 45 No. 5 (1971) pp. 1578-1584
Regge Poles and Their Residues in the Virasoro Model
Physics Department, McMaster University, Hamilton, Ontario
(Received December 5, 1970)
The complex l plane structure of the Virasoro model for η0η0 elastic scattering is investigated in detail. Explicit expressions for the residue functions and the positions of their poles and zeros are given for both moving and fixed Regge poles. Contrary to some statements in an earlier literature, it is shown that the poles of Regge residues do not show up as poles of the full signature amplitude and that they are not in conflict with unitarity. Besides, the fixed Regge poles are additive and not combined multiplicatively with moving Regge poles.
DOI : 10.1143/PTP.45.1578
E. N. Argyres and C. S. Lam, Phys. Rev. 186 (1969), 1532[APS].
S. Mandelstam, Phys. Rev. Lett. 21 (1968), 1724[APS].
S. Mandelstam, Phys. Rev. 183 (1969), 1374[APS].
- D. Sivers and J. Yellin, Preprint UCRL 19419.
- Bateman Manuscript Project, Higher Transcendental Functions, edited by A. Erdelyi (McGraw-Hill Book Co., New York, 1953), vol. 1, p. 108, Eq. (1).
F. Drago and S. Matsuda, Phys. Rev. 181 (1969), 2095[APS].
- Bateman Manuscript Project, Higher Transcendental Functions, edited by A. Erdelyi (McGraw-Hill Book Co., New York, 1953), vol. 1, p. 108, Eq. (2).
Citing Article(s) :
Progress of Theoretical Physics Vol. 45 No. 5 (1971) pp. 1585-1591
Lorentz Pole Structure of the Virasoro Model
Progress of Theoretical Physics Vol. 47 No. 2 (1972) pp. 710-712
Fixed and Moving Poles in the Virasoro Model are Multiplicative
C. H. Oh