Hermitian analyticity versus Real analyticity in two-dimensional factorised S-matrix theories
Abstract
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invariant, it is argued that the familiar condition of `Real analyticity' for the S-matrix amplitudes has to be superseded by a different one known as `Hermitian analyticity'.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.
Keywords
Cite
@article{arxiv.hep-th/9901145,
title = {Hermitian analyticity versus Real analyticity in two-dimensional factorised S-matrix theories},
author = {J. Luis Miramontes},
journal= {arXiv preprint arXiv:hep-th/9901145},
year = {2009}
}
Comments
9 pages, LaTeX file. The comments about unitarity in affine Toda theories have been improved. The basis dependence of the Hermitian analyticity conditions is discussed