Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-06-28
Nucl.Phys. B563 (1999) 573-602; Erratum-ibid. B603 (2001) 581
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, LaTeX 2e, 7 eps figures, uses amssymb, cite, epsf; v2: typos corrected and one reference added
Scientific paper
10.1016/S0550-3213(99)00609-4
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.
Dorey Patrick
Tateo Roberto
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