Unexpected spin-off from quantum gravity

Publication date

2006-12

Authors

Benedetti, D.
Loll, R.

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DOI

Document Type

Preprint
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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

quantum gravity, model, spin, lattice field theory, triangulation, Ising model, dimension, 2, high temperature expansion, susceptibility, numerical calculations, Spin systems, Random geometries, Series expansion

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