Correlation functions for the Tomonaga model
- 28 October 1976
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 9 (20), 3757-3773
- https://doi.org/10.1088/0022-3719/9/20/011
Abstract
The density, spin density and pair correlation functions for the spin-half Tomonaga model are derived analytically within the framework of ordinary many body theory. The author extends and formalises the method of Dzyaloshinskii and Larkin (Sov. Phys. JETP., vol.38, p.202 (1974)). The dynamical constraint imposed by the conservation law is expressed in terms of Wick's theorem and the correlation functions are formulated as functional integrals by means of the Stratonovich-Hubbard transformation (1957-59). The associated one-body problem is explicitly soluble and the correlation functions assume the form of Gaussian integrals which are evaluated analytically.Keywords
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