Criticality at absolute zero from Ising model on two-dimensional dynamical triangulations
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arXiv
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| Format: | Preprint |
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2017
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| _version_ | 1866915398515949568 |
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| author | Sato, Yuki Tanaka, Tomo |
| author_facet | Sato, Yuki Tanaka, Tomo |
| contents | We reconsider the criticality of the Ising model on two-dimensional dynamical triangulations based on the $N \times N$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1710_03402 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Criticality at absolute zero from Ising model on two-dimensional dynamical triangulations Sato, Yuki Tanaka, Tomo High Energy Physics - Theory Statistical Mechanics General Relativity and Quantum Cosmology High Energy Physics - Lattice We reconsider the criticality of the Ising model on two-dimensional dynamical triangulations based on the $N \times N$ 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. |
| title | Criticality at absolute zero from Ising model on two-dimensional dynamical triangulations |
| topic | High Energy Physics - Theory Statistical Mechanics General Relativity and Quantum Cosmology High Energy Physics - Lattice |
| url | https://arxiv.org/abs/1710.03402 |