在$U(N)$和$SU(N)$格点规范理论中消除交错费米物质
Removing Staggered Fermionic Matter in $U(N)$ and $SU(N)$ Lattice Gauge Theories
摘要：
规范理论，通过其核心的局部对称性，表现出许多局部约束，在任何计算中都必须注意和解决。在哈密尔顿图中，这是通过高斯定律来表述的，高斯定律是限制物理希尔伯特空间并将物质和规范自由度联系起来的局部约束。在这项工作中，我们提出了一种方法，使用所有的高斯定律在格点规范理论与交错费米子完全删除的物质自由度，在局部扩大的相互作用范围，打破对称性和引入新的本地限制，由于原来的本地物质空间的有限性的代价。
英文摘要：
Gauge theories, through the local symmetry which is in their core, exhibit many local constraints, that must be taken care of and addressed in any calculation. In the Hamiltonian picture this is phrased through the Gauss laws, local constraints that restrict the physical Hilbert space and relate the matter and gauge degrees of freedom. In this work, we present a way that uses all the Gauss laws in lattice gauge theories with staggered fermions for completely removing the matter degrees of freedom, at the cost of locally extending the interaction range, breaking the symmetry and introducing new local constraints, due to the finiteness of the original local matter spaces.
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