On the relation between Stokes multipliers and the \(T\)-\(Q\) systems of conformal field theory.(English)Zbl 0956.81077
Summary: 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 Schrödinger 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 Schrödinger equations means that certain problems in integrable quantum field theory are related to the study of Regge poles in non-relativistic potential scattering.
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
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