Some exact results for the two-point function of an integrable quantum field theory
1981; American Physical Society; Volume: 23; Issue: 12 Linguagem: Inglês
10.1103/physrevd.23.3081
ISSN1538-4500
AutoresDennis B. Creamer, H. B. Thacker, David Wilkinson,
Tópico(s)Strong Light-Matter Interactions
ResumoThe two-point correlation function for the quantum nonlinear Schr\"odinger (one-dimensional $\ensuremath{\delta}$-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 ($c\ensuremath{\rightarrow}\ensuremath{\infty}$) result of Jimbo, Miwa, M\^ori, and Sato is extended to give an exact expression for the order-$\frac{1}{c}$ correction to the two-point function in terms of a Painlev\'e transcendent of the fifth kind.
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