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arXiv · 1508.06402

Self-adjointness of bound state operators in integrable quantum field theory

Yoh Tanimoto
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Abstract

We study self-adjoint extensions of operators which are the product of the multiplication operator by an analytic function and the analytic continuation in a strip. We compute the deficiency indices of the product operator for a wide class of analytic functions. For functions of a particular form, we point out the existence of a self-adjoint extension which is unitarily equivalent to the analytic-continuation operation. They appear in integrable quantum field theories as the one-particle component of the operators which realize the bound states of elementary particles and the existence of self-adjoint extension is a necessary step for the construction of Haag-Kastler net for such models.

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Yoh Tanimoto. 2015-08-26. Self-adjointness of bound state operators in integrable quantum field theory. https://arxiv.org/abs/1508.06402

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