Abstract
Integral formulae for form factors of a large family of charged local operators in the SU (2) invariant Thirring model are given, extending Smirnov’s construction of form factors of chargeless local operators in the sine-Gordon model. New abelian symmetry acting on this family of local operators is found. It creates Lukyanov’s operators which are not in the above family of local operators in general.
This is a preview of subscription content, log in via an institution to check access.
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
Babelon, O., Bernard, D. and Smirnov, F., Null-vectors in integrable field theory, Comm. Math. Phys. 186 (1997), 601–648.
Babujian, H. and Karowski, M., Form factors and quantum equations of motion in the sine-Gordon model, hep-th/ 0102209.
Babujian, H. and Karowski, M., Exact form factors in integrable quantum field theories: the sine-Gordon model (II), Nucl. Phys. B620 (2002) 407–455
Jimbo, M. and Miwa, T., Algebraic Analysis of Solvable Lattice Models. Conference Board of the Mathem. Sciences, Regional Conference Series in Mathematics 85 (1995).
Jimbo, M. and Miwa, T., Quantum KZ equation with lq I = 1 and correlation functions of the XXZ model in the gapless regime, J. Phys. A: Math. Gen. 29 (1996), 2923–2958.
Koubek, A., The space of local operators in perturbed conformal field theories, Nucl.Phys. B. 435 (1995), 703–734.
Kirillov, A.N. and Smirnov, F., A representation of the current algebra connected with the su(2)-invariant Thirring model, Phys. Lett. B 198 (1987), 506–510.
Karowski, M. and Weisz, P., Exact form factors in (1 -I- 1)-dimensional field theoretic models with soliton behaviour, Nucl. Phys. B 139 (1978), 455–476.
Lukyanov, S., Free field representation for massive integrable models, Comm. Math. Phys. 167 (1995), 183–226.
Lukyanov, S., Form factors of exponential fields in the sine-Gordon model, Mod. Phys. Lett. A 12 (1997), 2543–2550.
Lukyanov, S. and Zamolodchikov, A., Form factors of soliton-creating operators in the sine-Gordon model, Nucl. Phys. B 607 (2001), 437–455.
Nakayashiki, A., Pakuliak, S. and Tarasov, V., On solutions of the KZ and qKZ equations at level zero. Ann. Inst. Henri Poincaré 71 (1999), 459–496.
Smirnov, F., Lectures on integrable massive models of quantum field theory, Nankai Lectures on Mathem. Physics (Ge, M-L. and Zhao, B-H. eds.), World Scentific, Singapore, 1990, 1–68.
Smirnov, F., Form factors in completely integrable field theories. World Scientific, Singapore, 1992.
Smirnov, F., Counting the local fields in SG theory. Nucl. Phys. B 453 (1995), 807–824.
Smirnov, F., On the deformation of abelian integrals, Lett. Math. Phys. 36 (1996), 267–275.
Tarasov, V., Completeness of the hypergeometric solutions of the qKZ equations at level zero. Amer. Math. Soc. Translations Ser.2 201 (2000), 309–321
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media New York
About this chapter
Cite this chapter
Nakayashiki, A., Takeyama, Y. (2002). On Form Factors of the SU(2) Invariant Thirring Model. In: Kashiwara, M., Miwa, T. (eds) MathPhys Odyssey 2001. Progress in Mathematical Physics, vol 23. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0087-1_13
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0087-1_13
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6605-1
Online ISBN: 978-1-4612-0087-1
eBook Packages: Springer Book Archive