论文标题
为什么边界条件通常不能确定边界关键行为的通用类别
Why boundary conditions do not generally determine the universality class for boundary critical behavior
论文作者
论文摘要
具有自由表面的系统的相互作用场理论经常表现出不同的边界临界行为的不同普遍性类别，具体取决于总表面特性。连续性场理论在某些规模上满足的边界条件可能对适用的通用类别可能是决定性的。在许多关于边界领域理论的论文中，理所当然的是，迪里奇莱特或诺伊曼边界条件决定是否观察到普通或特殊边界普遍性类别。虽然在某种意义上对于Dirichlet边界条件，但诺伊曼边界条件并非如此。基于在1980年代制定的结果，但在文献中并不总是得到适当的理解，边界条件的微妙作用及其规模依赖性得到了阐明，以及他们是否确定观察到的边界通用类别的问题。
Interacting field theories for systems with a free surface frequently exhibit distinct universality classes of boundary critical behaviors depending on gross surface properties. The boundary condition satisfied by the continuum field theory on some scale may or may not be decisive for the universality class that applies. In many recent papers on boundary field theories it is taken for granted that Dirichlet or Neumann boundary conditions decide whether the ordinary or special boundary universality class is observed. While true in a certain sense for the Dirichlet boundary condition, this is not the case for the Neumann boundary condition. Building on results that have been worked out in the 1980s, but have not always been appropriately appreciated in the literature, the subtle role of boundary conditions and their scale dependence is elucidated and the question of whether or not they determine the observed boundary universality class is discussed.
