Test of Conformal Invariance in One-Dimensional Quantum Liquid with Long-Range Interaction

Abstract

We numerically study the momentum distribution of one-dimensional Bose and Fermi systems with long-range interaction $g/r^2$ for the ``special'' values $g=-\frac{1}{2},0,4$, singled out by random matrix theory. The critical exponents are shown to be independent of density and in excellent agreement with estimates obtained from $c=1$ conformal finite-size scaling analysis.

25 pages

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