Abstract
In this talk I discuss the form factor approach used to compute correlation functions of integrable models in two dimensions. The Sinh-Gordon model is our basic example. Using Watson’s and the recursive equations satisfied by matrix elements of local operators, I present the computation of the form factors of the elementary field Ø(x)and the stress-energy tensor T μν (x)of the theory.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. Fring, G. Mussardo and P. Simonetti, Form Factors for Integrable Lagrangian Field Theories, the Sinh-Gordon Model,ISAS/EP/92–146, Imperial/TP/9192/31, to appear on Nucl. Phys. B.
A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, Nucl. Phys. B241 (1984), 333.
Vl.S. Dotsenko and V.A. Fateev, Nucl. Phys. B240 [FS 12] (1984), 312; Nucl. Phys. B251 [FS 13] (1985), 691; Phys. Lett. B 154 (1985), 291.
C. Itzykson, H. Saleur and J.B. Zuber, Conformal Invariance and Applications to Statistical Mechanics, ( World Scientific, Singapore 1988 ).
A.B. Zamolodchikov, Al.B. Zamolodchikov, Ann.Phys. 120 (1979) 253.
A.B. Zamolodchikov, in Advanced Studies in Pure Mathematics 19 (1989), 641; Int. J. Mod. Phys. A3 (1988), 743.
R. Köberle and J.A. Swieca, Phys. Lett. 86B (1979), 209; A.B. Zamolodchikov, Int. J. Mod. Phys. A3 (1988), 743; V. A. Fateev and A.B. Zamolodchikov, Int. J. Mod. Phys. A5 (1990), 1025.
J.L. Cardy, G. Mussardo, Phys. Lett. B225 (1989), 275.
G. Mussardo, Phys. Rep. 218 (1992), 215.
A.E. Arinshtein, V.A. Fateev and A.B. Zamolodchikov, Phys. Lett. 87B (1979), 389.
P. Christe and G. Mussardo, Nucl.Phys. B B330 (1990), 465; P. Christe and G. Mussardo Int. J. Mod. Phys. A5 (1990), 1025; H. W. Braden, E. Corrigan, P. E. Dorey, R. Sasaki, Nucl. Phys. B338 (1990), 689; H. W. Braden, E. Corrigan, P. E. Dorey, R. Sasaki, Nucl. Phys. B356 (1991), 469.
K.M. Watson, Phys. Rev. 95 (1954), 228.
B. Berg, M. Karowski, P. Weisz, Phys. Rev. D19 (1979), 2477; M. Karowski, P. Weisz, Nucl. Phys. B139 (1978), 445; M. Karowski, Fhys. Rep. 49 (1979), 229;
F. A. Smirnov, in Introduction to Quantum Group and Integrable Massive Models of Quantum Field Theory, Nankai Lectures on Mathematical Physics, World Scientific 1990.
F.A. Smirnov, J. Phys. A17 (1984), L873; F.A. Smirnov, J. Phys. A19 (1984), L575; A.N. Kirillov and F.A. Smirnov, Phys. Lett. B198 (1987), 506; A.N. Kir-illov and F.A. Smirnov, Int. J. Mod. Phys. A3 (1988), 731.
F.A. Smirnov, Nucl. Phys. B337 (1989), 156; Int. J. Mod. Phys. A4 (1989), 4213.
V.P. Yurov and Al. B. Zamolodchikov, Int. J. Mod. Phys. A6 (1991), 3419.
Al.B. Zamolodchikov, Nucl. Phys. B348 (1991), 619.
J.L. Cardy and G. Mussardo, Nucl. Phys. B340 (1990), 387.
A.V. Mikhailov, M.A. Olshanetsky and A.M. Perelomov, Comm. Math. Phys. 79 (1981), 473.
O. Babelon and L. Bonora, Phys. Lett. B244 (1990), 220.
P. Mansfield, Nucl. Phys. B222 (1983), 419.
R. Sasaki and I. Yamanaka, in Advanced Studies in Pure Mathematics 16 (1988), 271.
L.D. Faddev and L.A. Takhtajan, Hamiltonian Method in the Theory of Solitons, ( Springer, N.Y., 1987 ).
I.G. MacDonald, Symmetric Functions and Hall Polynomials ( Clarendon Press, Oxford, 1979 ).
A.B. Zamolodchikov, JEPT Lett. 43 (1986), 730.
J.L. Cardy, Phys. Rev. Lett. 60 (1988), 2709.
A. Cappelli, D. Friedan and J.L. Latorre, Nuci. Phys. B352 (1991), 616.
D.Z. Freedman, J.I. Latorre and X. Vilasis, Mod. Phys. Lett. A6 (1991), 531.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media New York
About this chapter
Cite this chapter
Mussardo, G. (1993). Correlation Functions in 2-Dimensional Integrable Quantum Field Theories. In: Bonora, L., Mussardo, G., Schwimmer, A., Girardello, L., Martellini, M. (eds) Integrable Quantum Field Theories. NATO ASI Series, vol 310. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1516-0_14
Download citation
DOI: https://doi.org/10.1007/978-1-4899-1516-0_14
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-1518-4
Online ISBN: 978-1-4899-1516-0
eBook Packages: Springer Book Archive