Unexpected spin-off from quantum gravity

D. Benedetti and R. Loll

Physica A: Statistical Mechanics and its Applications, 2007, vol. 377, issue 2, 373-380

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: Spin systems; Random geometries; Series expansion (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:377:y:2007:i:2:p:373-380

DOI: 10.1016/j.physa.2006.11.032

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