Operator Spectrum and Exact Exponents of the Fully Packed Loop Model

Preprint

27 March 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9603170

Abstract

We develop a Coulomb gas description of the critical fluctuations in the fully packed loop model on the honeycomb lattice. We identify the complete operator spectrum of this model in terms of electric and magnetic {\em vector}-charges, and we calculate the scaling dimensions of these operators exactly. We also study the geometrical properties of loops in this model, and we derive exact results for the fractal dimension and the loop size distribution function. A review of the many different representations of this model that have recently appeared in the literature, is given.

Keywords

OPERATOR SPECTRUM
FULLY PACKED LOOP
PACKED LOOP MODEL
EXACT EXPONENTS
COULOMB GAS
SPECTRUM
FRACTAL

All Related Versions

Version 1, 1996-03-27, ArXiv
Published version: Journal of Physics A: General Physics, 29 (20), 6489.

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