Scattering processes among strings are analyzed by using fundamental equations of three types, which divide the whole complex z-plane into various types of N punctured ring domains plus various unpunctured ring domains, where internal strings freely propagate. In order to calculate scattering amplitudes (among physical particles) in Witten’s quantum string field theory, we derive and apply the “Gluing theorem,’’ mathematical proof of which is given (in operator forms) by constructing various (inlint) conformal mapping operators.
REFERENCES
1.
2.
For example, see
D. J.
Gross
and A.
Jevicki
, Nucl. Phys. B
283
, 1
(1987
);3.
A.
LeClair
, M. E.
Peskin
, and C. R.
Preitschopf
, Nucl. Phys. B
317
, 411
, 464
(1988
), and various papers cited therein.4.
A. A.
Belavin
, A. M.
Polyakov
, and A. B.
Zamolodchikov
, Nucl. Phys. B
241
, 333
(1983
).5.
For reviews on conformal field theory techniques in string theory, see, for example,
D.
Friedan
, E.
Martinec
, and S.
Schenker
, Nucl. Phys. B
271
, 93
(1986
).6.
7.
8.
R.
Bluhm
and S.
Samuel
, Nucl. Phys. B
323
, 337
(1989
), and various papers cited therein.9.
S.
Samuel
, Nucl. Phys. B
341
, 513
(1990
), and various papers cited therein.10.
11.
12.
13.
14.
V. A.
Kostelecky
, O.
Lechtenfeld
, W.
Lerche
, S.
Samuel
, and Watamura
, Nucl. Phys. B
288
, 173
(1987
).15.
P. D.
Vecchia
, F.
Pezella
, M.
Frau
, K.
Hornfeck
, A.
Lerda
, and S.
Sciuto
, Nucl. Phys. B
322
, 317
(1989
), and various papers cited therein.16.
E.
Verlinde
and H.
Verlinde
, Nucl. Phys. B
288
, 357
(1987
), and various papers cited therein.
This content is only available via PDF.
© 1997 American Institute of Physics.
1997
American Institute of Physics
You do not currently have access to this content.
