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