Unexpected Spin-Off from Quantum Gravity

TL;DR

This paper introduces a new approach to studying spin systems by coupling them with causal dynamically triangulated lattices, improving series convergence and singularity analysis in the 2D Ising model.

Contribution

It presents a novel method of analyzing spin systems on dynamic lattices, enhancing the understanding of their thermodynamic properties.

Findings

Improved convergence of power series in the 2D Ising model.

Amelioration of singularity structures in thermodynamic functions.

Adaptation of graph-counting methods to dynamic lattice coupling.

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.