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首页> 外文期刊>Physical review, D >Induced energy-momentum tensor of a Dirac field in 2D de Sitter QED
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Induced energy-momentum tensor of a Dirac field in 2D de Sitter QED

机译：诱导2D de Satter Qed中DIRAC场的能量动量张量

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摘要

We compute the expectation value of the energy-momentum tensor in the in-vacuum state of the quantized Dirac field coupled to a uniform electric field background on the Poincaré patch of the two-dimensional de Sitter spacetime ( dS 2 ). The adiabatic regularization scheme is applied to remove the ultraviolet divergencies from the expressions. Then we obtain a finite result for the induced energy-momentum tensor that varies continuously under a continuous change of the electric field strength and the Dirac field mass. We find that the off-diagonal components of the induced energy-momentum tensor vanish. The absolute values of the diagonal components increase as the electric field increases and decrease as the Dirac field mass increases except in the very near vicinity of their zero points. We derive the trace anomaly of the induced energy-momentum tensor, which agrees precisely with the trace anomaly derived earlier in the literature. We have discussed the backreaction of the induced energy-momentum tensor on the gravitational field of the dS 2 .
机译：我们计算在耦合到一个均匀的电场背景上二维德西特时空（DS 2）的庞加莱补丁的量化Dirac场的在真空状态下的能量 - 动量张量的期望值。绝热正则化方案被应用到从表达式除去紫外线分歧。然后，我们得到的是电场强度和Dirac场质量连续变化的情况下连续变化的感应的能量 - 动量张量有限的结果。我们发现，诱导能量 - 动量的非对角线分量张量消失。对角线成分的绝对值随着电场的增加和减少，除了在其零点的非常接近附近的Dirac场大规模增加。我们得出的跟踪异常感应能量 - 动量张量，这与早期的异常在文献中得到的精确跟踪同意的。我们已经讨论了在DS上2的引力场感应能量 - 动量张量的backreaction。

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