论文标题
大型媒介玻色子理论中淬灭随机质量障碍
Quenched random mass disorder in the large N theory of vector bosons
论文作者
论文摘要
我们研究了在较大的N极限下具有淬火的随机质量障碍的临界骨气O（N）载体模型。由于有时从下方不限制的复制动作，我们避免了副本的技巧，并采用传统方法直接计算疾病平均的物理可观察物。在$ n = \ infty $时，我们可以准确地解决无序模型。所得的低能量行为可以通过两种量表不变理论来描述，其中一种具有内在的规模。在有限的$ n $上，我们发现先前提出的有吸引力的固定点在$ d = 2 $继续存在于$ d = 2+ε$空间尺寸。我们还以$ 3 <d <4 $的空间维度研究了该系统，其中该疾病在高斯固定点上相关。但是，在四个空间尺寸以下没有物理吸引人的固定点。然而，$ 2+ε$尺寸的稳定固定点仍然可以在系统具有实验实现的情况下生存于$ d = 3 $。预测一些关键指数是为了通过未来的数字和实验检查。
We study the critical bosonic O(N) vector model with quenched random mass disorder in the large N limit. Due to the replicated action which is sometimes not bounded from below, we avoid the replica trick and adopt a traditional approach to directly compute the disorder averaged physical observables. At $N=\infty$, we can exactly solve the disordered model. The resulting low energy behavior can be described by two scale invariant theories, one of which has an intrinsic scale. At finite $N$, we find that the previously proposed attractive disordered fixed point at $d=2$ continues to exist at $d=2+ε$ spatial dimensions. We also studied the system in the $3<d<4$ spatial dimensions where the disorder is relevant at the Gaussian fixed point. However, no physical attractive fixed point is found right below four spatial dimensions. Nevertheless, the stable fixed point at $2+ε$ dimensions can still survive at $d=3$ where the system has experimental realizations. Some critical exponents are predicted in order to be checked by future numerics and experiments.
