Schwinger effect in compact space

Prasant Samantray, Suprit Singh
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Abstract

We consider a theory of scalar QED on a spatially compact 1+1-dimensional spacetime. By considering a constant electric field pointing down the compact dimension, we compute the quantum effective action by integrating out the scalar degrees of freedom in the Euclidean sector. Working in the saddle-point approximation we uncover two novel branches/physical regimes upon analytically continuing back to real time and discover a new result, hitherto unreported in previous literature. Implications of our results are discussed.
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紧空间中的Schwinger效应
我们考虑了一个空间紧致1+1维时空上的标量QED理论。通过考虑一个指向紧化维度的恒定电场,我们通过积分欧几里得扇区中的标量自由度来计算量子有效作用。在鞍点近似中,我们发现了两个新的分支/物理制度,在分析上继续回到实时,并发现了一个新的结果,迄今为止未在以前的文献中报道过。讨论了研究结果的意义。
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