论文标题
在无效边界相空间的符号形式上
On Symplectic Form for Null Boundary Phase Space
论文作者
论文摘要
为了在空位中以空边界的界限进行重力，应添加任意假设的无效表面，以解释d.o.f的自由度（d.o.f）和空间区域的动力学。在d维示例中，边界d.o.f由定义在零边界处的D-2尺寸间距切片定义的D电荷标记。虽然边界模式可以具有自己的边界动力学，但它们与散装模式的相互作用受通量余量方程的控制，可以将其解释为描述散装重力“溶解”到边界的扩散方程。从边界角度来看，边界d.o.f遵守边界的局部热力学方程。我们的描述提出了对系统d.o.f进行量化的系统的新“半经典”量化，而大量是经典的。这种半古老的治疗可能与黑洞物理学中的问题有关。
To formulate gravity in spacetimes bounded by a null boundary, an arbitrary hypothetical null surface, boundary degrees of freedom (d.o.f) should be added to account for the d.o.f and dynamics in the spacetime regions excised behind the null boundary. In the D dimensional example, boundary d.o.f are labelled by D charges defined at D-2 dimensional spacelike slices at the null boundary. While boundary modes can have their own boundary dynamics, their interaction with the bulk modes is governed by flux-balance equations which may be interpreted as a diffusion equation describing "dissolution" of bulk gravitons into the boundary. From boundary viewpoint, boundary d.o.f obey local thermodynamical equations at the boundary. Our description suggests a new "semiclassical" quantization of the system in which boundary d.o.f are quantized while bulk is classical. This semiclassical treatment may be relevant to questions in black hole physics.
