标题： dS背景下真空零点能及其统计关联 显示英文标题

标题： Vacuum Zero Point Energy and its Statistical Correlations in dS Background

摘要： 我们研究了标量场在de Sitter（dS）背景下的真空零点能，该标量场具有任意质量和共形耦合。采用维数正则化方案，我们计算了正则化的零点能密度、压力以及能量动量张量的迹。结果显示，真空应力能量张量的经典关系 $\langle T \rangle =-4 \langle \rho \rangle$ 收到了异常的量子修正，这种修正依赖于质量及共形耦合，而关系 $\langle \rho \rangle = - \langle P \rangle$ 仍然成立。我们计算了与真空零点能相关的密度对比，表明 $\delta \rho \sim \langle \rho \rangle$ ，这表明零点能存在非均匀且非微扰的分布。最后，我们计算了与零点能和压力分布相关的偏度，并表明它们高度非高斯。 显示英文摘要

摘要： We study the vacuum zero point energy associated to a scalar field with an arbitrary mass and conformal coupling in a dS background. Employing dimensional regularization scheme, we calculate the regularized zero point energy density, pressure and the trace of the energy momentum tensor. It is shown that the classical relation $\langle T \rangle =-4 \langle \rho \rangle$ for the vacuum stress energy tensor receives anomalous quantum correction which depends on the mass and the conformal coupling while the relation $\langle \rho \rangle = - \langle P \rangle$ does hold. We calculate the density contrast associated to the vacuum zero point energy and show that $\delta \rho \sim \langle \rho \rangle$ indicating an inhomogeneous and non-perturbative distribution of the zero point energy. Finally, we calculate the skewness associated to the distribution of the zero point energy and pressure and show that they are highly non-Gaussian.