Some exact results for the two-point function of an integrable quantum field theory
- 15 June 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 23 (12) , 3081-3084
- https://doi.org/10.1103/physrevd.23.3081
Abstract
The two-point correlation function for the quantum nonlinear Schrödinger (one-dimensional -function gas) model is studied. An infinite-series representation for this function is derived using the quantum inverse-scattering formalism. For the case of zero temperature, the infinitecoupling () result of Jimbo, Miwa, Môri, and Sato is extended to give an exact expression for the order- correction to the two-point function in terms of a Painlevé transcendent of the fifth kind.
Keywords
This publication has 20 references indexed in Scilit:
- Holonomic Quantum Fields, VPublications of the Research Institute for Mathematical Sciences, 1980
- Holonomic Quantum Fields IVPublications of the Research Institute for Mathematical Sciences, 1979
- Holonomic Quantum Fields IIIPublications of the Research Institute for Mathematical Sciences, 1979
- Holonomic Quantum Fields. II — The Riemann-Hilbert ProblemPublications of the Research Institute for Mathematical Sciences, 1979
- Holonomic Quantum Fields IPublications of the Research Institute for Mathematical Sciences, 1978
- On the rotational symmetry of the spin-spin correlation function of the two-dimensional Ising modelPhysics Letters A, 1976
- Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling regionPhysical Review B, 1976
- One-Dimensional Impenetrable Bosons in Thermal EquilibriumJournal of Mathematical Physics, 1966
- Momentum Distribution in the Ground State of the One-Dimensional System of Impenetrable BosonsJournal of Mathematical Physics, 1964
- Note on the One-Dimensional Gas of Impenetrable Point-Particle BosonsJournal of Mathematical Physics, 1963