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Schwinger Effect in Compact Space

High Energy Physics - Theory 2021-06-29 v3

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.

Keywords

Cite

@article{arxiv.2010.13453,
  title  = {Schwinger Effect in Compact Space},
  author = {Prasant Samantray and Suprit Singh},
  journal= {arXiv preprint arXiv:2010.13453},
  year   = {2021}
}

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Published version

R2 v1 2026-06-23T19:38:48.980Z