标题： 自旋链与手性晶格费米子 显示英文标题

标题： Spin Chains and Chiral Lattice Fermions

摘要： 将洛伦兹不变性推广到可解的二维晶格费米子模型中已被表述为 Baxter 的角转移矩阵的形式。在这些模型中，晶格哈密顿量和boost算符由费米化的最近邻海森堡自旋链算符给出。局域晶格费米子算符在boost下的变换性质提供了一种自然且精确的方法，将连续Dirac场的螺旋结构推广到晶格上。由此得到的表述与Wilson和交错(Kogut-Susskind)方案均不同。特别是，轴向$Q_5$旋转是逐点局部的，而矢量荷旋转混合偶数和奇数子晶格上的最近邻。 显示英文摘要

摘要： The generalization of Lorentz invariance to solvable two-dimensional lattice fermion models has been formulated in terms of Baxter's corner transfer matrix. In these models, the lattice Hamiltonian and boost operator are given by fermionized nearest-neighbor Heisenberg spin chain operators. The transformation properties of the local lattice fermion operators under a boost provide a natural and precise way of generalizing the chiral structure of a continuum Dirac field to the lattice. The resulting formulation differs from both the Wilson and staggered (Kogut-Susskind) prescriptions. In particular, an axial $Q_5$ rotation is sitewise local, while the vector charge rotation mixes nearest neighbors on even and odd sublattices.