I am studying Special Relativity. When calculating the Electrostatic Energy of Point Charges, there is self energy which is infinite due to the interaction between the charge and the Coulomb potential produced by itself. The author said this should be ignored as it has no physical interest. It also says it means there is a fundamental limitation for classical electrodynamics (dimension needs to be >1e-25m).
Can you tell me if this is solved in more advanced physics (e.g. quantum electrodynamics) and if this is well understood in the community or it is still a research topic? Thanks a lot!
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