On the relation between Stokes multipliers and the T-Q systems of conformal field theory

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...

Full description

Saved in:
Bibliographic Details
Published in:Nuclear physics. B 1999-12, Vol.563 (3), p.573-602
Main Authors: Dorey, Patrick, Tateo, Roberto
Format: Article
Language:English
Subjects:
Conformal field theory
Quantum mechanics
Schrödinger problems
Thermodynamic Bethe ansatz
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
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.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(99)00609-4