论文标题
半古典爱因斯坦方程：下降到基态
Semi-classical Einstein equations:descend to the ground state
论文作者
论文摘要
时间依赖性的宇宙学术语来自以不同于基态的状态计算的能量量张量。我们讨论了在各种（近似）纯状态和混合状态下，能量弹药张量对爱因斯坦方程的RHS的期望值。我们应用经典的慢速场演化以及Starobinsky和温暖的通货膨胀随机方程，以计算预期值。我们表明，在集中在双孔电势的局部最大值的状态下，期望值呈指数下降。我们确认了随机通货膨胀模型中期望值的下降。我们在大时计算宇宙常数$λ$，作为相对于固定概率分布的能量密度的期望值。我们表明$λ\simeqγ^{\ frac {4} {3}}，其中$γ$是热耗散率。
The time-dependent cosmological term arises from the energy-momentum tensor calculated in a state different from the ground state. We discuss the expectation value of the energy-momentum tensor on the rhs of Einstein equations in various (approximate)pure as well as mixed states. We apply the classical slow-roll field evolution as well as the Starobinsky and warm inflation stochastic equations in order to calculate the expectation value. We show that in a state concentrated at the local maximum of the double-well potential the expectation value is decreasing exponentially. We confirm the descend of the expectation value in the stochastic inflation model. We calculate the cosmological constant $Λ$ at large time as the expectation value of the energy density with respect to the stationary probability distribution. We show that $Λ\simeq γ^{\frac{4}{3}} where $γ$ is the thermal dissipation rate.
