强耦合下SO（N）格点规范理论的$1/N$展开
The $1/N$ expansion for SO(N) lattice gauge theory at strong coupling
摘要：
$1/N$展开式是大$N$格点规范理论中某些量的渐近级数展开式。本文给出了SO（N）格点规范理论中Wilson圈期望在任意维强耦合区的$1/N$展开式的严格形式和证明。展开式中的项表示为格点弦理论中弦轨迹的和，建立了明确的规范弦对偶。轨迹跟踪曲面的亏格为零的首项的扩展，和表面的高亏格的高条款。
英文摘要：
The $1/N$ expansion is an asymptotic series expansion for certain quantities in large-$N$ lattice gauge theories. This article gives a rigorous formulation and proof of the $1/N$ expansion for Wilson loop expectations in SO(N) lattice gauge theory in the strong coupling regime in any dimension. The terms in the expansion are expressed as sums over trajectories of strings in a lattice string theory, establishing an explicit gauge-string duality. The trajectories trace out surfaces of genus zero for the first term in the expansion, and surfaces of higher genus for the higher terms.
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