Unexpected Spin-Off from Quantum Gravity
Abstract
Description
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.
10 pages, 4 figures; final, slightly amended version, to appear in Physica A
10 pages, 4 figures; final, slightly amended version, to appear in Physica A