1999/06/30 by Patrick Dorey, Roberto Tateo
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1016/s0550-3213(99)00609-4
published as Nucl.Phys. B563 (1999) 573-602; Erratum-ibid. B603 (2001) 581 · 33 pages, LaTeX 2e, 7 eps figures, uses amssymb, cite, epsf; v2: typos corrected and one reference added
arxiv created 1999/07/20 · arxiv updated 2009/11/30
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.