论文标题

在Friedman-Lemaitre-Robertson-Walker时空中,量子场校正对自由流媒体物质的状态方程式

Quantum field corrections to the equation of state of freely streaming matter in the Friedman-Lemaitre-Robertson-Walker space-time

论文作者

Becattini, F., Roselli, D.

论文摘要

在量子统计力学的框架内,我们从空间平坦的Friedman-Lema- Robertson-Walker时空中从空间平坦的Friedman-Lema-Robertson-Walker时空中取下标量场的能量密度和压力。通过使用由局部热力学平衡条件确定的密度算子,我们通过在解耦时减去真空期望值来计算真实标量场的应力能量张量的平均值。所获得的能量密度和压力的表达涉及相对论鲍尔茨曼方程的经典自由流溶液的校正,即使在很长一段时间内也可能会变得有意义。

We calculate the energy density and pressure of a scalar field after its decoupling from a thermal bath in the spatially flat Friedman-Lemaître-Robertson-Walker space-time, within the framework of quantum statistical mechanics. By using the density operator determined by the condition of local thermodynamic equilibrium, we calculate the mean value of the stress-energy tensor of a real scalar field by subtracting the vacuum expectation value at the time of the decoupling. The obtained expressions of energy density and pressure involve corrections with respect to the classical free-streaming solution of the relativistic Boltzmann equation, which may become relevant even at long times.

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