Unexpected spin-off from quantum gravity

D. Benedetti, R. Loll

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)373-380
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Volume377
Issue number2
DOIs
Publication statusPublished - 15 Apr 2007
Externally publishedYes

Keywords

  • Random geometries
  • Series expansion
  • Spin systems

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