使用UV截止值消除AdS重影
Banishing AdS ghosts with a UV cutoff
摘要：
最近的一次尝试是在通常的BF窗口$-(d/2)^2 < m^2 l^2 < -(d/2)^2 + 1$之外用“Neumann边界条件”来理解AdS中的标量，这导致了包括（取决于精确的上下文）IR发散或幽灵出现在内的病理学。在这里，我们认为，这样的鬼可能会被放逐的紫外线截止。在某些UV完井中也可以实现这一目标。一个例子是上述AdS理论，其具有由截止表面上的特定边界条件补充的径向截止。在这种情况下，我们明确确定的理论是鬼自由的参数空间的区域。在低能量下，该理论可以被解释为标准对偶CFT（用“狄利克雷”边界条件定义）通过不相关的相互作用与额外标量相互作用。我们也讨论了最近的全息费米面和量子临界性的工作的关系。
英文摘要：
A recent attempt to make sense of scalars in AdS with "Neumann boundary conditions" outside of the usual BF-window $-(d/2)^2 < m^2 l^2 < -(d/2)^2 + 1$ led to pathologies including (depending on the precise context) either IR divergences or the appearance of ghosts. Here we argue that such ghosts may be banished by imposing a UV cutoff. It is also possible to achieve this goal in certain UV completions. An example is the above AdS theory with a radial cutoff supplemented by particular boundary conditions on the cutoff surface. In this case we explicitly identify a region of parameter space for which the theory is ghost free. At low energies, this theory may be interpreted as the standard dual CFT (defined with "Dirichlet" boundary conditions) interacting with an extra scalar via an irrelevant interaction. We also discuss the relationship to recent works on holographic fermi surfaces and quantum criticality.
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