English

Unexpected Spin-Off from Quantum Gravity

High Energy Physics - Lattice 2008-11-26 v2 Statistical Mechanics General Relativity and Quantum Cosmology

Abstract

We propose a novel way of investigating the universal properties of spin systems by coupling them to an ensemble of causal dynamically triangulated lattices, instead of studying them on a fixed regular or random lattice. Somewhat surprisingly, graph-counting methods to extract high- or low-temperature series expansions can be adapted to this case. For the two-dimensional Ising model, we present evidence that this ameliorates the singularity structure of thermodynamic functions in the complex plane, and improves the convergence of the power series.

Keywords

Cite

@article{arxiv.hep-lat/0603013,
  title  = {Unexpected Spin-Off from Quantum Gravity},
  author = {D. Benedetti and R. Loll},
  journal= {arXiv preprint arXiv:hep-lat/0603013},
  year   = {2008}
}

Comments

10 pages, 4 figures; final, slightly amended version, to appear in Physica A