The Green function and correlation exponents for interacting particles in one dimension

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Published under licence by IOP Publishing Ltd
, , Citation Joseph P Straley and Eugene B Kolomeisky 1996 J. Phys.: Condens. Matter 8 10419 DOI 10.1088/0953-8984/8/49/030

0953-8984/8/49/10419

Abstract

We give a heuristic argument that shows how all the correlation functions at large distances and times of a translationally invariant one-dimensional quantum liquid are determined by one (bosons or spinless fermions) or two (spin-1/2 fermions) correlation exponents. The argument is based on the observation that in the path-integral formulation of the problem the effect of creation and destruction operators can be seen on inserting dislocations in a two-dimensional crystal of particle world lines.

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10.1088/0953-8984/8/49/030