论文标题
抗DE保姆时空的Klein-Gordon场的基态,具有动态Wendzell边界条件
Ground State for the Klein-Gordon field in anti-de Sitter spacetime with dynamical Wentzell boundary conditions
论文作者
论文摘要
我们考虑了$(d+1)$ - 尺寸抗De保姆时空的Poincaré贴片中的一个真正的Klein-Gordon领域,垫子$ _ {d+1} $,并在PADS $ _ {D+1} $的渐近边界上施加动态边界条件,该边界取决于第二个时间派出的领域。这些边界条件是通用的温泽尔类型。每当理论的参数(场质量,曲率耦合和边界条件参数)构成Klein-Gordon理论的基础状态时,我们为Klein-Gordon理论的基态构建了Wightman的两点函数。在klein-gordon场的质量和曲率耦合项产生有效的无质量理论的情况下,我们可以定义一个边界场,其动力学由动力学边界条件和构造所统治,除了Wightman的klein-gordon函数,klein-gordon场,边界到边界,边界至boto-bullk to Bulk and Bulk-to Bulk and Bulk-to Bulk-to Bulk-to Bulk-to Bulk-to Bulk-to Bulk-to-Bounk-Bounk-Boundary Hapagrator。
We consider a real Klein-Gordon field in the Poincaré patch of $(d+1)$-dimensional anti-de Sitter spacetime, PAdS$_{d+1}$, and impose dynamical boundary condition on the asymptotic boundary of PAdS$_{d+1}$ that depend explicitly on the second time derivative of the field at the boundary. These boundary conditions are of generalized Wentzell type. We construct the Wightman two-point function for the ground state of the Klein-Gordon theory whenever the parameters of the theory (the field mass, curvature coupling and boundary condition parameters) render such ground state admissible. In the cases in which the mass of the Klein-Gordon field and the curvature coupling term yield an effectively massless theory, we can define a boundary field whose dynamics are ruled by the dynamical boundary condition and construct, in addition to the Wightman function for the Klein-Gordon field, boundary-to-boundary, boundary-to-bulk and bulk-to-boundary propagators.