English

Operator Spectrum and Exact Exponents of the Fully Packed Loop Model

Condensed Matter 2009-10-28 v1

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

Cite

@article{arxiv.cond-mat/9603170,
  title  = {Operator Spectrum and Exact Exponents of the Fully Packed Loop Model},
  author = {Jané Kondev and Jan de Gier and Bernard Nienhuis},
  journal= {arXiv preprint arXiv:cond-mat/9603170},
  year   = {2009}
}

Comments

17 pages latex, 3 postscript figures, IOP style files included

R2 v1 2026-07-22T11:52:41.580Z