标题： 自旋玻璃有限维体系多临界点的精确位置：一个猜想 显示英文标题

标题： Exact location of the multicritical point for finite-dimensional spin glasses: A conjecture

摘要： 我们提出了一个关于有限维度自旋玻璃模型相图中多临界点精确位置的猜想。 通过推广我们之前的工作，我们将对称性和规范对称性结合到复制的随机系统中，推导出公式，使得能够以统一的方式理解所有相关的数值结果。 该方法适用于非自对偶晶格以及自对偶的情况，在前一种情况下，我们推导出互为对偶晶格的多临界点值的一对关系。 例子包括正负J和高斯伊辛自旋玻璃在正方形、六边形和三角形晶格上的情况，这些晶格上的Potts和Z_q模型与手性随机性，以及三维正负J伊辛自旋玻璃和随机平面元规范模型。 显示英文摘要

摘要： We present a conjecture on the exact location of the multicritical point in the phase diagram of spin glass models in finite dimensions. By generalizing our previous work, we combine duality and gauge symmetry for replicated random systems to derive formulas which make it possible to understand all the relevant available numerical results in a unified way. The method applies to non-self-dual lattices as well as to self dual cases, in the former case of which we derive a relation for a pair of values of multicritical points for mutually dual lattices. The examples include the +-J and Gaussian Ising spin glasses on the square, hexagonal and triangular lattices, the Potts and Z_q models with chiral randomness on these lattices, and the three-dimensional +-J Ising spin glass and the random plaquette gauge model.