On discrete field theory properties of the dimer and Ising models and their conformal field theory limits

Kriz I.; Loebl M.; Somberg P.

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On discrete field theory properties of the dimer and Ising models and their conformal field theory limits

机译：二聚体模型和伊辛模型的离散场理论性质及其共形场理论极限

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We study various mathematical aspects of discrete models on graphs, specifically the Dimer and the Ising models. We focus on proving gluing formulas for individual summands of the partition function. We also obtain partial results regarding conjectured limits realized by fermions in rational conformal field theories.

机译：我们研究图形上离散模型的各个数学方面，特别是Dimer和Ising模型。我们专注于证明分区函数的各个求和的粘合公式。在合理的共形场理论中，我们还获得了关于费米子实现的猜想极限的部分结果。

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《Journal of Mathematical Physics》 |2013年第5期|共25页
作者
Kriz I.; Loebl M.; Somberg P.;
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正文语种 eng
中图分类物理学的数学方法;
关键词
properties; conformal; individual;

机译：性质;保形;个体;

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专利

1. On discrete field theory properties of the dimer and Ising models and their conformal field theory limits [J] . Kriz I., Loebl M., Somberg P. Journal of Mathematical Physics . 2013,第5期

机译：二聚体模型和伊辛模型的离散场理论性质及其共形场理论极限
2. Logarithmic Conformal Field Theory and Boundary Effects in the Dimer Model [J] . N. Sh. Izmailian, V. B. Priezzhev, Philippe Ruelle, Physical review letters . 2005,第26期

机译：Dimer模型中的对数保形场理论和边界效应
3. Continuum limit of two-dimensional spin models with continuous symmetry and conformal quantum field theory [J] . Patrascioiu A., Seiler E. Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics . 1998,第1期

机译：具有连续对称性和保形量子场理论的二维自旋模型的连续极限
4. Dynamic Phase Transitions In The Spin-2 Ising System Under An Oscillating Magnetic Field Within The Effective-Field Theory [C] . Mehmet Ertas, Bayram Deviren, Mustafa Keskin Asian Physics Symposium . 2010

机译：在有效场理论中振荡磁场下旋转2刻录系统的动态相变
5. Scaling Limit of Anyonic Chains and Quantum Simulation of Conformal Field Theory [D] . Shokrian Zini, Modjtaba. 2020

机译：肛门链条的缩放限制与保形场理论的Quantum模拟
6. From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory [O] . James Lepowsky 2005

机译：从顶点算子代数的表示理论到共形场论中的模量张量类别
7. On discrete field theory properties of the dimer and Ising models and their conformal field theory limits [O] . Kriz, Igor, Loebl, Martin, Somberg, Petr 2011

机译：关于二聚体和伊辛模型的离散场理论性质他们的共形场理论限制

On discrete field theory properties of the dimer and Ising models and their conformal field theory limits

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