Unexpected Spin-Off from Quantum Gravity
高能物理 - 格点
2008-11-26 v2 统计力学
广义相对论与量子宇宙学
摘要
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.
引用
@article{arxiv.hep-lat/0603013,
title = {Unexpected Spin-Off from Quantum Gravity},
author = {D. Benedetti and R. Loll},
journal= {arXiv preprint arXiv:hep-lat/0603013},
year = {2008}
}
备注
10 pages, 4 figures; final, slightly amended version, to appear in Physica A