Criticality at absolute zero from Ising model on two-dimensional dynamical triangulations

2017/10/10 by Sato, Yuki, Tanaka, Tomo
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.1710.03402

Abstract

We reconsider the criticality of the Ising model on two-dimensional dynamical triangulations based on the N × N hermitian two-matrix model with the introduction of a loop-counting parameter and linear terms in the potential. We show that in the large-N limit even though the Ising model is classical, the critical temperature can reach absolute zero by tuning the loop-counting parameter, and the corresponding continuum theory turns out to be the quantised theory of neither pure gravity nor gravity coupled to conformal matter with central charge being 1/2.

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