Criticality at absolute zero from Ising model on twodimensional dynamical triangulations
Abstract
We reconsider the criticality of the Ising model on twodimensional dynamical triangulations based on the N ×N Hermitian twomatrix model with the introduction of a loopcounting parameter and linear terms in the potential. We show that in the largeN limit even though the Ising model is classical, the critical temperature can reach absolute zero by tuning the loopcounting parameter, and the corresponding continuum theory turns out to be the quantized theory of neither pure gravity nor gravity coupled to conformal matter with central charge being 1 /2 .
 Publication:

Physical Review D
 Pub Date:
 July 2018
 DOI:
 10.1103/PhysRevD.98.026026
 arXiv:
 arXiv:1710.03402
 Bibcode:
 2018PhRvD..98b6026S
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter  Statistical Mechanics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Lattice
 EPrint:
 25 pages, 3 figures