Fock representations of exchange algebras with involution

被引:13
作者
Liguori, A [1 ]
Mintchev, M [1 ]
Rossi, M [1 ]
机构
[1] IST NAZL FIS NUCL, SEZ PISA, PISA, ITALY
关键词
D O I
10.1063/1.532024
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An associative algebra A(R) with exchange properties generalizing the canonical (anti)commutation relations is considered. We introduce a family of involutions in A(R) and construct the relative Fock representations, examining the positivity of the metric. As an application of the general results, we rigorously prove unitarity of the scattering operator of integrable models in 1+1 space-time dimensions. In this context the possibility of adopting various involutions in the Zamolodchikov-Faddeev algebra is also explored. (C) 1997 American Institute of Physics.
引用
收藏
页码:2888 / 2898
页数:11
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