标题： 二维物质弥散黑洞中的不可逆时间流动 显示英文标题

标题： Irreversible Time Flow in a Two-Dimensional Dilaton Black Hole with Matter

摘要： 我们证明了之前发现的含物质的二维稀疏引力的精确解表现出一种不可逆的时间流动，趋向于宇宙常数为零的平坦空间。这种时间流动是由物质对时空几何的反作用引起的。我们证明，如果宇宙常数不为零，系统则不在平衡状态，而宇宙常数为零的解是稳定的。系统向这一稳定终点的流动来源于Zamolodchikov函数的重整化群流动。这种行为被解释为非临界Liouville弦理论，其中Liouville场被识别为目标时间。 显示英文摘要

摘要： We show that an exact solution of two-dimensional dilaton gravity with matter discovered previously exhibits an irreversible temporal flow towards flat space with a vanishing cosmological constant. This time flow is induced by the back reaction of matter on the space-time geometry. We demonstrate that the system is not in equilibrium if the cosmological constant is non-zero, whereas the solution with zero cosmological constant is stable. The flow of the system towards this stable end-point is derived from the renormalization-group flow of the Zamolodchikov function. This behaviour is interpreted in terms of non-critical Liouville string, with the Liouville field identified as the target time.