Prog. Theor. Phys. Vol. 59 No. 4 (1978) pp. 1376-1390

[ Full Text PDF : FREE ACCESS (879K) ]

S-Matrix for Interacting Extended Boson Fields. II

— Scattering Amplitude and Self-Energy —

A. Z. Capri and C. C. Chiang

Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Alberta T6G 2J1

(Received September 12, 1977)

Abstract:

The S-matrix operator for a bilocal field with a “φ³” self-interaction previously obtained is applied to a computation of the two-body elastic scattering amplitude and the self-energy. The scattering amplitude shows Regge behaviour and damps in a Gaussian manner in both the s and t channels. The self-energy is finite to second order. Some ambiguities with the physical interpretation of the self-energy are also discussed.

URL : http://ptp.ipap.jp/link?PTP/59/1376/
DOI : 10.1143/PTP.59.1376

References:

A. Z. Capri and C. C. Chiang, Prog. Theor. Phys. 59 (1978), 996[PTP].
This paper will be referred to as I.
T. Goto and S. Naka, Prog. Theor. Phys. 51 (1974), 600[PTP].
C. Bloch, K. Dan. Vidensk. Selsk. Mat. -Fys. Medd. 26 (1950), No. 1.
C. Hayashi, Prog. Theor. Phys. 10 (1953), 533[PTP].
T. Imamura, S. Sunakawa and R. Utiyama, Prog. Theor. Phys. 11 (1954), 291[PTP].
C. Hayashi, Prog. Theor. Phys. 11 (1954), 226[PTP].
Y. Katayama, Prog. Theor. Phys. 8 (1952), 381[PTP].
L. O'Raifeartaigh and Y. Takahashi, Helv. Phys. Acta 34 (1961), 554, and papers cited therein.
Y. Takahashi, Soryusiron Kenkyu (Mimeographed Circular in Japanese) 48 (1973), A32.
G. Pócsik, ITP-Budapest Rep. No. 365 (1976).
A. Z. Capri and C. C. Chiang, Nuovo Cim. A 38 (1977), 191.

Citing Article(s) :

Progress of Theoretical Physics Vol. 62 No. 4 (1979) pp. 1143-1151 :
Bi-Local Field on Space-Like Surface

Kiyoshi Kamimura
Progress of Theoretical Physics Supplement No.67 (1979) pp. 69-114 :
On the Bi-Local Model and String Model

Tetsuo Gotō, Shigefumi Naka and Kiyoshi Kamimura