具有任意对称性的普适哈伯德模型
Universal Hubbard models with arbitrary symmetry
摘要：
我们提出了一个一般性的框架，导致一维XX和哈伯德模型在充分的一般性，基于任意向量空间（可能是无限维）分解成两个子空间的直接和，两个相应的正交投影仪允许一个定义的R-矩阵的通用XX模型，然后使用Shastry型结构的哈伯德模型。QISM方法确保了模型的可积性，所获得的R-矩阵的性质导致局部Hubbard样哈密顿。在所有的情况下，明确地确定的能量，对称代数和散射矩阵。确定了泛Hubbard理论中某些子部分的Bethe Anketman方程的计算方法，并在XX情形下进行了完全计算。对通用的哈伯德模型进行了大耦合区的微扰计算。
英文摘要：
We propose a general framework that leads to one-dimensional XX and Hubbard models in full generality, based on the decomposition of an arbitrary vector space (possibly infinite dimensional) into a direct sum of two subspaces, the two corresponding orthogonal projectors allowing one to define a R-matrix of a universal XX model, and then of a Hubbard model using a Shastry type construction. The QISM approach ensures integrability of the models, the properties of the obtained R-matrices leading to local Hubbard-like Hamiltonians. In all cases, the energies, the symmetry algebras and the scattering matrices are explicitly determined. The computation of the Bethe Ansatz equations for some subsectors of the universal Hubbard theories are determined, while they are fully computed in the XX case. A perturbative calculation in the large coupling regime is also done for the universal Hubbard models.
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