Abstract
Integrable massive QFT and conformal invariant models follow from lattice integrable models in suitable scaling limits. There are Yang-Baxter algebras (YBA) associated with all these two-dimensional models. These YBA allow one to construct the exact solution (spectrum, S-matrix, form-factors,…) for this class of theories. Braid groups and quantum groups are derived as limiting cases of YBA when θ (spectral parameter) goes to ±∞.
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
H. J. de Vega, Yang-Baxter Algebras, Integrable Theories and Quantum Groups. Int. J. Mod. Phys. 4,2371–2463 (1989). Taniguchi Conference Lectures, LPTHE 88-46, to appear in “Advanced Studies in Pure Mathematics” vol.19, Kinokuniya-Academic, 1989.
H. J. de Vega, Nucl. Phys. B240, 495 (1984).
C. Destri and H. J. de Vega, Nucl. Phys. B290, 363(1987), Phys. Lett. B201, 261(1988) and J. Phys. A, 22, 1329 (1989).
A.M. Polyakov and P. B. Wiegmann, Phys. Lett. B131, 121(1983), B142, 173(1984) and B141, 217(1984). L. D. Faddeev and N. Y. Reshetikhin, Ann. Phys. 167, 227(1986). C. Destri and H. J. de Vega, Phys. Lett. B201, 245 and B208, 255 (1988).
C. Destri and H. J. de Vega, Physics Lett. B223, 365 (1989).
H. J. de Vega and F. Woynarovich, Nucl. Phys. B251, 439 (1985). H. P. Eckle and F. Woynarovich, J. Phys. A20, L97 (1987) C. J. Hamer et al., J. Phys. A20, 5677(1987). H.J. de Vega and M. Karowski Nucl.Phys. B285, 619(1987). M. Karowski, Nucl. Phys. B300, 473 (1988).
H. J. de Vega, J. Phys. A20, 6023(1987) and J. Phys. A21, L1089 (1988).
See for a review, E. Date et al., RIMS-590 (1987) preprint.
H. J. de Vega and H. J. Giacomini, J. Phys. A 22, 2759 (1989).
A. Luther, Phys. Rev. B14, 2153 (1976). M. Luscher, Nucl. Phys. B117, 475 (1976).
H.J. de Vega and T.J.M. Simoes, Phys. Lett. B217, 142 (1989).
B. Klaiber, Boulder Lectures, Vol. XA, p.141 (1968). J. A. Swieca, Fortschr. der Physik, 25, 303 (1977).
See, for example: J. S. Birman Braids et al., Princeton Univ. Press, 1974.
C. Destri and H. J. de Vega, LPTHE preprint 89–20, May 1989.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
de Vega, H.J. (1990). Yang-Baxter Algebras and Quantum Groups. In: Luck, JM., Moussa, P., Waldschmidt, M. (eds) Number Theory and Physics. Springer Proceedings in Physics, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75405-0_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-75405-0_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-75407-4
Online ISBN: 978-3-642-75405-0
eBook Packages: Springer Book Archive