Abstract
We compute the discharging rate of a uniform electric field due to Schwinger pair production in ()-dimensional scalar electrodynamics with a compact dimension of radius . Our calculation is performed in real time, using the in-in formalism. For large compactification radii, , we recover the standard noncompact space result. However, other ranges of values of and of the mass of the charged scalar give rise to a richer set of behaviors. For with large enough, the electric field oscillates in time, whereas for it decreases in steps. We discuss the origin of these results.
- Received 2 June 2020
- Accepted 22 July 2020
DOI:https://doi.org/10.1103/PhysRevD.102.045010
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society