标题： 引力真空极化 显示英文标题

标题： Gravitational vacuum polarization

摘要： 经典爱因斯坦引力的能量条件一旦引入量子效应就会失效。 这些能量条件的量子违背并不是微妙的高能Planck尺度效应。 相反，能量条件的量子违背已经在半经典的量子引力中发生，并且是一阶O(\hbar )效应。 能量条件的量子违背很普遍，尽管幅度较小。 显示英文摘要

摘要： The energy conditions of classical Einstein gravity fail once quantum effects are introduced. These quantum violations of the energy conditions are not subtle high-energy Planck scale effects. Rather the quantum violations of the energy conditions already occur in semiclassical quantum gravity and are first-order O(\hbar) effects. Quantum violations of the energy conditions are widespread, albeit small.