https://doi.org/10.1140/epjc/s10052-023-11770-x
Regular Article - Theoretical Physics
Temporal vs spatial conservation and memory effect in electrodynamics
1
Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), P.O. Box 45137-66731, Zanjan, Iran
2
School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
Received:
5
April
2023
Accepted:
26
June
2023
Published online:
12
July
2023
We consider the standard Maxwell’s theory in 
dimensions in the presence of a timelike boundary. In this context, we show that (generalized) Ampere-Maxwell’s charge appears as a Noether charge associated with the Maxwell U(1) gauge symmetry which satisfies a spatial conservation equation. Furthermore, we also introduce the notion of spatial memory field and its corresponding memory effect. Finally, similar to the temporal case through the lens of Strominger’s triangle proposal, we show how spatial memory and conservation are related.
© The Author(s) 2023
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