Ising-like models on Euclidean black holes
Abstract
We study spin models on Euclidean black hole backgrounds. These resemble the Ising model, but are inhomogeneous with two parameters, the black hole mass and the cosmological constant. We use Monte-Carlo methods to study macroscopic properties of these systems for Schwarzschild and anti-deSitter black holes in four and five dimensions for spin-1/2 and spin-1. We find in every case that increasing the black hole mass causes the spins to undergo a second order phase transition from disorder to order and that the phase transition occurs at sub-Planckian black hole mass.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- January 2024
- DOI:
- arXiv:
- arXiv:2306.08547
- Bibcode:
- 2024CQGra..41a5002S
- Keywords:
-
- Ising model;
- Euclidean;
- black holes;
- quantum field theory on curved background;
- phase transition;
- critical exponent;
- Monte Carlo;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 13 pages, 8 figures, 1 table