Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 40, Issue 50, Pages 14963-14984Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/40/50/004
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We have investigated the properties of a model of 1D anyons interacting through a delta-function repulsive potential. The structure of the quasi-periodic boundary conditions for the anyonic field operators and the many-anyon wavefunctions is clarified. The spectrum of the low-lying excitations including the particle - hole excitations is calculated for periodic and twisted boundary conditions. Using the ideas of the conformal field theory we obtain the large-distance asymptotics of the density and field correlation function at the critical temperature T=0 and at small finite temperatures. Our expression for the field correlation function extends the results in the literature obtained for harmonic quantum anyonic fluids.
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