论文标题

XY-Plaquette模型的双重性,改良的小人公式和双重汉密尔顿法的等效性

Equivalence of the modified Villain formulation and the dual Hamiltonian method in the duality of the XY-plaquette model

论文作者

Yoneda, M.

论文摘要

关于$ 2+1D $系统中XY-Plaquette模型的二元性,我们比较并讨论了Gorantla等人最近引入的修改后的反派配方之间的等效性和差异。为了研究诸如Fracton理论的异国情调理论的二元性,以及我们在先前的论文中介绍的标准反派公式和双重汉密尔顿方法,以研究约瑟夫森连接和$ 1+1D $系统中的二元性。

Regarding the duality of the XY-plaquette model in the $2+1d$ system, We compared and discussed the equivalence and difference between the modified Villain formulation, recently introduced by Gorantla et al. to study duality in exotic field theories such as fracton theory, and the standard Villain formulation and dual Hamiltonian method we introduced in our previous paper to study duality between Josephson junctions and quantum phase slips in the $1+1d$ system.

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