Hermitian analyticity versus Real analyticity in two-dimensional factorised S-matrix theories

Details Hermitian analyticity versus Real analyticity in two-dimensional factorised S-matrix theories Hermitian analyticity versus Real analyticity in two-dimensional factorised S-matrix theories

1999-01-27

arxiv.org/abs/hep-th/9901145v3

Phys.Lett. B455 (1999) 231-238

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX file. The comments about unitarity in affine Toda theories have been improved. The basis dependence of the Herm

Scientific paper

10.1016/S0370-2693(99)00390-1

The constraints implied by analyticity in two-dimensional factorised S-matrix theories are reviewed. Whenever the theory is not time-reversal invariant, it is argued that the familiar condition of `Real analyticity' for the S-matrix amplitudes has to be superseded by a different one known as `Hermitian analyticity'. Examples are provided of integrable quantum field theories whose (diagonal) two-particle S-matrix amplitudes are Hermitian analytic but not Real analytic. It is also shown that Hermitian analyticity is consistent with the bootstrap equations and that it ensures the equivalence between the notion of unitarity in the quantum group approach to factorised S-matrices and the genuine unitarity of the S-matrix.

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