Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-08-08
Nucl. Phys. B 793 (2008) 451-468
Physics
Condensed Matter
Statistical Mechanics
18 pages, v2: typos corrected, published version
Scientific paper
10.1016/j.nuclphysb.2007.10.009
Introducing the fermionic R-operator and solutions of the inverse scattering problem for local fermion operators, we derive a multiple integral representation for zero-temperature correlation functions of a one-dimensional interacting spinless fermion model. Correlation functions particularly considered are the one-particle Green's function and the density-density correlation function both for any interaction strength and for arbitrary particle densities. In particular for the free fermion model, our formulae reproduce the known exact results. Form factors of local fermion operators are also calculated for a finite system.
Motegi Kohei
Sakai Kazumitsu
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