Abstract
Using a Lie-theoretical approach an approximative nontrivialS-matrix for the (bosonic) Liouville field theory is constructed. OurS-matrix element is unitary and factorizable in terms of Gamma-functions. We comment also on previous papers on the same subject.
Similar content being viewed by others
References
E. Braaten, T. Curtright, G. Ghandour, C. Thorn: University of Florida at Gainesville Preprint-UF-TP-83-9
P. Tataru-Mihai: Nuova Cimento72A, 80 (1982)
E. D'Hooker, D. Freedman, R. Jackiw: MIT-Preprint CTP-1072 (1983)
G. Dzhordzhadze: Teor. Mat. Fiz.41, 33 (1979). (English transl.: Theor. Math. Phys.41, 867 (1979))
O. Teichmüller: Abh. Preuss. Akad. Wissen. Math. Naturwiss. Kl. No.22, (1939); No. 4 (1943)
S. Lang:SL 2(R). Reading, Mass. Addisson-Wesley 1975
Harish-Chandra: Am. J. Math.80, 241 (1958), ibid. Harish-Chandra: Am. J. Math.80, 553 (1958)
S.G. Gindikin, F.I. Karpelevich: Dokl. Akad. Nauk SSSR145, 252 (1962)
R.J. Stanton, P.A. Tomas: Acta Math.140, 251 (1978)
See e.g. B. Berg: Lectures at the 1979 Les Houches Symposium on Complex Analysis and Field Theory and references therein
L.D. Faddev, B.S. Pavlov: Proc. Steklov Inst.27, 161 (1972)
P. Lax, R.S. Phillips: Scattering theory for automorphic functions. Princeton J: Princeton Univ. Press 1976
P. Lax, R.S. Phillips: Bull. Am. Math. Soc. (New Series)2, 261 (1980)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tataru-Mihai, P. Towards the construction of theS-matrix for the Liouville field theory. Z. Phys. C - Particles and Fields 23, 247–249 (1984). https://doi.org/10.1007/BF01546192
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01546192