I'm interested to know if the so called non-physical 'bare' model especially for massive elementary particles, which treats the particles as mathematical dimensionless points without any volume and attributing to these physical intrinsic properties like mass, spin, charge is the main source of the infinities appearing in the calculations and therefore needing these to be neglected by using renormalization?

What kind of infinities appear if any due this adopted model?

And why is this model still used today in quantum theories? I can see that historically this model has served its purpose since for example we cannot measure any finite physical size for the electron but wondering as if this model is not causing in modern physics more problems than the merits it offers?

What prevents us to adopt today a more physical "dressed" model for elementary particles having for example a finite charge radius at rest? Would that not address the infinities problem appearing in the calculations and eliminate the need to apply re-normalization techniques which are accused by many as not being accurately describing the actual physical process and being a mathematical trick?

The bare model implications addressed by Dirac in his lecture:

https://www.youtube.com/watch?v=GlBWe6QM23k&t=293s

(watch from the above time stamp and on)

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