On the relation between Stokes multipliers and the \(T\)-\(Q\) systems of conformal field theory
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Publication:1572391
DOI10.1016/S0550-3213(99)00609-4zbMATH Open0956.81077arXivhep-th/9906219OpenAlexW3105402099MaRDI QIDQ1572391
Author name not available (Why is that?)
Publication date: 12 July 2000
Published in: (Search for Journal in Brave)
Abstract: The vacuum expectation values of the so-called Q-operators of certain integrable quantum field theories have recently been identified with spectral determinants of particular Schrodinger operators. In this paper we extend the correspondence to the T-operators, finding that their vacuum expectation values also have an interpretation as spectral determinants. As byproducts we give a simple proof of an earlier conjecture of ours, proved by another route by Suzuki, and generalise a problem in PT symmetric quantum mechanics studied by Bender and Boettcher. We also stress that the mapping between Q-operators and Schrodinger equations means that certain problems in integrable quantum field theory are related to the study of Regge poles in non-relativistic potential scattering.
Full work available at URL: https://arxiv.org/abs/hep-th/9906219
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