Colour valued Scattering Matrices

Article, Preprint English OPEN
Fring, A. ; Korff, C. (2000)

We describe a general construction principle which allows to add colour values to a coupling constant dependent scattering matrix. As a concrete realization of this mechanism we provide a new type of S-matrix which generalizes the one of affine Toda field theory, being related to a pair of Lie algebras. A characteristic feature of this S-matrix is that in general it violates parity invariance. For particular choices of the two Lie algebras involved this scattering matrix coincides with the one related to the scaling models described by the minimal affine Toda S-matrices and for other choices with the one of the Homogeneous sine-Gordon models with vanishing resonance parameters. We carry out the thermodynamic Bethe ansatz and identify the corresponding ultraviolet effective central charges.
  • References (18)
    18 references, page 1 of 2

    [1] B. Schroer, T.T. Truong and P. Weisz, Phys. Lett. B63 (1976) 422; M. Karowski, H.J. Thun, T.T. Truong and P. Weisz, Phys. Lett. B67 (1977) 321; A.B. Zamolodchikov, JETP Lett. 25 (1977) 468.

    [2] L. Castillejo, R.H. Dalitz and F.J. Dyson, Phys.Rev. 101 (1956) 453.

    [3] A.E. Arinshtein, V.A. Fateev and A.B. Zamolodchikov, Phys. Lett. B87 (1979) 389; H.W. Braden, E. Corrigan, P.E. Dorey and R. Sasaki, Nucl. Phys. B338 (1990) 689.

    [4] C.R. Ferna´ndez-Pousa and J.L. Miramontes, Phys. Lett. B472 (2000) 392.

    [5] G.W. Delius, M.T. Grisaru and D. Zanon, Nucl. Phys. B382 (1992) 365.

    [6] A. Fring, C. Korff and B.J. Schulz, Nucl. Phys. B567 (2000) 409.

    [7] R. Ko¨berle and J.A. Swieca, Phys. Lett. 86B (1979) 209; A.B. Zamolodchikov, Int. J. Mod. Phys. A1 (1989) 4235.

    [8] O.A. Castro-Alvaredo, A. Fring, C. Korff and J.L. Miramontes, Thermodynamic Bethe Ansatz of the Homogeneous Sine-Gordon Models, hep-th/9912196.

    [9] A.V. Mikhailov, M.A. Olshanetsky and A.M. Perelomov, Commun. Math. Phys. 79 (1981) 473; G. Wilson, Ergod. Th. Dyn. Syst. 1 (1981) 361; D.I. Olive and N. Turok, Nucl. Phys. B257 [FS14] (1985) 277.

    [10] T. Nakatsu, Nucl. Phys. B356 (1991) 499; T.J. Hollowood, Nucl. Phys. B384 (1992) 523; G.M. Gandenberger, Nucl. Phys. B449 (1995) 375; G.M. Gandenberger and N.J. MacKay, Nucl. Phys. B457 (1995) 240; G.M. Gandenberger, N.J. MacKay and G. Watts, Nucl. Phys. B465 (1996) 329.

  • Metrics
    No metrics available
Share - Bookmark